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Insbesondere gilt ",[574,1614,1616,1655],{"className":1615},[577],[574,1617,1619],{"className":1618},[581],[583,1620,1621],{"xmlns":585},[587,1622,1623,1652],{},[590,1624,1625,1627,1629,1631,1633,1635,1646,1648,1650],{},[593,1626,595],{},[597,1628,600],{"stretchy":599},[593,1630,603],{},[597,1632,606],{"stretchy":599},[597,1634,900],{},[1636,1637,1638,1640,1642],"msubsup",{},[593,1639,889],{},[593,1641,603],{},[597,1643,1645],{"mathvariant":925,"lspace":1644,"rspace":1644},"0em","′",[597,1647,600],{"stretchy":599},[621,1649,922],{},[597,1651,606],{"stretchy":599},[647,1653,1654],{"encoding":649},"E(X) = 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und 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= M_X''(0) - 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3",[574,3883,3885,3903],{"className":3884,"ariaHidden":609},[654],[574,3886,3888,3891,3894,3897,3900],{"className":3887},[658],[574,3889],{"className":3890,"style":1575},[662],[574,3892,3255],{"className":3893},[667,668],[574,3895],{"className":3896,"style":1073},[689],[574,3898,900],{"className":3899},[1077],[574,3901],{"className":3902,"style":1073},[689],[574,3904,3906,3909],{"className":3905},[658],[574,3907],{"className":3908,"style":1608},[662],[574,3910,638],{"className":3911},[667],[574,3913,3915,3959],{"className":3914},[577],[574,3916,3918],{"className":3917},[581],[583,3919,3920],{"xmlns":585},[587,3921,3922,3956],{},[590,3923,3924,3926,3928,3930,3932,3934],{},[593,3925,889],{},[597,3927,600],{"stretchy":599},[593,3929,817],{},[597,3931,606],{"stretchy":599},[597,3933,900],{},[616,3935,3936,3938],{},[593,3937,812],{},[590,3939,3940,3942,3944,3950,3952,3954],{},[621,3941,638],{},[597,3943,600],{"stretchy":599},[616,3945,3946,3948],{},[593,3947,812],{},[593,3949,817],{},[597,3951,1802],{},[621,3953,2911],{},[597,3955,606],{"stretchy":599},[647,3957,3958],{"encoding":649},"M(t) = e^{3(e^t - 1)}",[574,3960,3962,3989],{"className":3961,"ariaHidden":609},[654],[574,3963,3965,3968,3971,3974,3977,3980,3983,3986],{"className":3964},[658],[574,3966],{"className":3967,"style":1013},[662],[574,3969,889],{"className":3970,"style":1020},[667,668],[574,3972,600],{"className":3973},[673],[574,3975,817],{"className":3976},[667,668],[574,3978,606],{"className":3979},[681],[574,3981],{"className":3982,"style":1073},[689],[574,3984,900],{"className":3985},[1077],[574,3987],{"className":3988,"style":1073},[689],[574,3990,3992,3995],{"className":3991},[658],[574,3993],{"className":3994,"style":3319},[662],[574,3996,3998,4001],{"className":3997},[667],[574,3999,812],{"className":4000},[667,668],[574,4002,4004],{"className":4003},[706],[574,4005,4007],{"className":4006},[710],[574,4008,4010],{"className":4009},[714],[574,4011,4013],{"className":4012,"style":3319},[718],[574,4014,4015,4018],{"style":722},[574,4016],{"className":4017,"style":727},[726],[574,4019,4021],{"className":4020},[731,732,733,734],[574,4022,4024,4027,4030,4059,4062,4065],{"className":4023},[667,734],[574,4025,638],{"className":4026},[667,734],[574,4028,600],{"className":4029},[673,734],[574,4031,4033,4036],{"className":4032},[667,734],[574,4034,812],{"className":4035},[667,668,734],[574,4037,4039],{"className":4038},[706],[574,4040,4042],{"className":4041},[710],[574,4043,4045],{"className":4044},[714],[574,4046,4048],{"className":4047,"style":3373},[718],[574,4049,4050,4053],{"style":3376},[574,4051],{"className":4052,"style":3380},[726],[574,4054,4056],{"className":4055},[731,3384,1953,734],[574,4057,817],{"className":4058},[667,668,734],[574,4060,1802],{"className":4061},[1936,734],[574,4063,2911],{"className":4064},[667,734],[574,4066,606],{"className":4067},[681,734],". Ableiten ergibt ",[574,4070,4072,4114],{"className":4071},[577],[574,4073,4075],{"className":4074},[581],[583,4076,4077],{"xmlns":585},[587,4078,4079,4111],{},[590,4080,4081,4087,4089,4091,4093,4095,4097,4103,4105,4107,4109],{},[616,4082,4083,4085],{},[593,4084,889],{},[597,4086,1645],{"mathvariant":925,"lspace":1644,"rspace":1644},[597,4088,600],{"stretchy":599},[593,4090,817],{},[597,4092,606],{"stretchy":599},[597,4094,900],{},[621,4096,638],{},[616,4098,4099,4101],{},[593,4100,812],{},[593,4102,817],{},[593,4104,889],{},[597,4106,600],{"stretchy":599},[593,4108,817],{},[597,4110,606],{"stretchy":599},[647,4112,4113],{"encoding":649},"M'(t) = 3e^t M(t)",[574,4115,4117,4174],{"className":4116,"ariaHidden":609},[654],[574,4118,4120,4124,4156,4159,4162,4165,4168,4171],{"className":4119},[658],[574,4121],{"className":4122,"style":4123},[662],"height:1.0019em;vertical-align:-0.25em;",[574,4125,4127,4130],{"className":4126},[667],[574,4128,889],{"className":4129,"style":1020},[667,668],[574,4131,4133],{"className":4132},[706],[574,4134,4136],{"className":4135},[710],[574,4137,4139],{"className":4138},[714],[574,4140,4142],{"className":4141,"style":1710},[718],[574,4143,4144,4147],{"style":722},[574,4145],{"className":4146,"style":727},[726],[574,4148,4150],{"className":4149},[731,732,733,734],[574,4151,4153],{"className":4152},[667,734],[574,4154,1645],{"className":4155},[667,734],[574,4157,600],{"className":4158},[673],[574,4160,817],{"className":4161},[667,668],[574,4163,606],{"className":4164},[681],[574,4166],{"className":4167,"style":1073},[689],[574,4169,900],{"className":4170},[1077],[574,4172],{"className":4173,"style":1073},[689],[574,4175,4177,4180,4183,4212,4215,4218,4221],{"className":4176},[658],[574,4178],{"className":4179,"style":3170},[662],[574,4181,638],{"className":4182},[667],[574,4184,4186,4189],{"className":4185},[667],[574,4187,812],{"className":4188},[667,668],[574,4190,4192],{"className":4191},[706],[574,4193,4195],{"className":4194},[710],[574,4196,4198],{"className":4197},[714],[574,4199,4201],{"className":4200,"style":3003},[718],[574,4202,4203,4206],{"style":722},[574,4204],{"className":4205,"style":727},[726],[574,4207,4209],{"className":4208},[731,732,733,734],[574,4210,817],{"className":4211},[667,668,734],[574,4213,889],{"className":4214,"style":1020},[667,668],[574,4216,600],{"className":4217},[673],[574,4219,817],{"className":4220},[667,668],[574,4222,606],{"className":4223},[681],[574,4225,4227,4294],{"className":4226},[577],[574,4228,4230],{"className":4229},[581],[583,4231,4232],{"xmlns":585},[587,4233,4234,4291],{},[590,4235,4236,4246,4248,4250,4252,4254,4256,4258,4264,4266,4269,4279,4281,4283,4285,4287,4289],{},[616,4237,4238,4240],{},[593,4239,889],{},[590,4241,4242,4244],{},[597,4243,1645],{"mathvariant":925},[597,4245,1645],{"mathvariant":925},[597,4247,600],{"stretchy":599},[593,4249,817],{},[597,4251,606],{"stretchy":599},[597,4253,900],{},[597,4255,600],{"stretchy":599},[621,4257,638],{},[616,4259,4260,4262],{},[593,4261,812],{},[593,4263,817],{},[597,4265,2269],{},[621,4267,4268],{},"9",[616,4270,4271,4273],{},[593,4272,812],{},[590,4274,4275,4277],{},[621,4276,623],{},[593,4278,817],{},[597,4280,606],{"stretchy":599},[992,4282,994],{},[593,4284,889],{},[597,4286,600],{"stretchy":599},[593,4288,817],{},[597,4290,606],{"stretchy":599},[647,4292,4293],{"encoding":649},"M''(t) = (3e^t + 9e^{2t})\\,M(t)",[574,4295,4297,4353,4403],{"className":4296,"ariaHidden":609},[654],[574,4298,4300,4303,4335,4338,4341,4344,4347,4350],{"className":4299},[658],[574,4301],{"className":4302,"style":4123},[662],[574,4304,4306,4309],{"className":4305},[667],[574,4307,889],{"className":4308,"style":1020},[667,668],[574,4310,4312],{"className":4311},[706],[574,4313,4315],{"className":4314},[710],[574,4316,4318],{"className":4317},[714],[574,4319,4321],{"className":4320,"style":1710},[718],[574,4322,4323,4326],{"style":722},[574,4324],{"className":4325,"style":727},[726],[574,4327,4329],{"className":4328},[731,732,733,734],[574,4330,4332],{"className":4331},[667,734],[574,4333,1909],{"className":4334},[667,734],[574,4336,600],{"className":4337},[673],[574,4339,817],{"className":4340},[667,668],[574,4342,606],{"className":4343},[681],[574,4345],{"className":4346,"style":1073},[689],[574,4348,900],{"className":4349},[1077],[574,4351],{"className":4352,"style":1073},[689],[574,4354,4356,4359,4362,4365,4394,4397,4400],{"className":4355},[658],[574,4357],{"className":4358,"style":3170},[662],[574,4360,600],{"className":4361},[673],[574,4363,638],{"className":4364},[667],[574,4366,4368,4371],{"className":4367},[667],[574,4369,812],{"className":4370},[667,668],[574,4372,4374],{"className":4373},[706],[574,4375,4377],{"className":4376},[710],[574,4378,4380],{"className":4379},[714],[574,4381,4383],{"className":4382,"style":3003},[718],[574,4384,4385,4388],{"style":722},[574,4386],{"className":4387,"style":727},[726],[574,4389,4391],{"className":4390},[731,732,733,734],[574,4392,817],{"className":4393},[667,668,734],[574,4395],{"className":4396,"style":1841},[689],[574,4398,2269],{"className":4399},[1936],[574,4401],{"className":4402,"style":1841},[689],[574,4404,4406,4409,4412,4447,4450,4453,4456,4459,4462],{"className":4405},[658],[574,4407],{"className":4408,"style":663},[662],[574,4410,4268],{"className":4411},[667],[574,4413,4415,4418],{"className":4414},[667],[574,4416,812],{"className":4417},[667,668],[574,4419,4421],{"className":4420},[706],[574,4422,4424],{"className":4423},[710],[574,4425,4427],{"className":4426},[714],[574,4428,4430],{"className":4429,"style":719},[718],[574,4431,4432,4435],{"style":722},[574,4433],{"className":4434,"style":727},[726],[574,4436,4438],{"className":4437},[731,732,733,734],[574,4439,4441,4444],{"className":4440},[667,734],[574,4442,623],{"className":4443},[667,734],[574,4445,817],{"className":4446},[667,668,734],[574,4448,606],{"className":4449},[681],[574,4451],{"className":4452,"style":690},[689],[574,4454,889],{"className":4455,"style":1020},[667,668],[574,4457,600],{"className":4458},[673],[574,4460,817],{"className":4461},[667,668],[574,4463,606],{"className":4464},[681],", also",[574,4467,4469],{"className":4468},[870],[574,4470,4472,4578],{"className":4471},[577],[574,4473,4475],{"className":4474},[581],[583,4476,4477],{"xmlns":585,"display":879},[587,4478,4479,4575],{},[590,4480,4481,4483,4485,4487,4489,4491,4497,4499,4501,4503,4505,4507,4509,4512,4514,4516,4522,4524,4526,4536,4538,4540,4542,4544,4547,4549,4551,4553,4555,4557,4559,4561,4563,4565,4571,4573],{},[593,4482,595],{},[597,4484,600],{"stretchy":599},[593,4486,603],{},[597,4488,606],{"stretchy":599},[597,4490,900],{},[616,4492,4493,4495],{},[593,4494,889],{},[597,4496,1645],{"mathvariant":925,"lspace":1644,"rspace":1644},[597,4498,600],{"stretchy":599},[621,4500,922],{},[597,4502,606],{"stretchy":599},[597,4504,900],{},[621,4506,638],{},[597,4508,610],{"separator":609},[689,4510],{"width":4511},"2em",[593,4513,595],{},[597,4515,600],{"stretchy":599},[616,4517,4518,4520],{},[593,4519,603],{},[621,4521,623],{},[597,4523,606],{"stretchy":599},[597,4525,900],{},[616,4527,4528,4530],{},[593,4529,889],{},[590,4531,4532,4534],{},[597,4533,1645],{"mathvariant":925},[597,4535,1645],{"mathvariant":925},[597,4537,600],{"stretchy":599},[621,4539,922],{},[597,4541,606],{"stretchy":599},[597,4543,900],{},[621,4545,4546],{},"12",[597,4548,610],{"separator":609},[689,4550],{"width":4511},[593,4552,1773],{},[597,4554,600],{"stretchy":599},[593,4556,603],{},[597,4558,606],{"stretchy":599},[597,4560,900],{},[621,4562,4546],{},[597,4564,1802],{},[616,4566,4567,4569],{},[621,4568,638],{},[621,4570,623],{},[597,4572,900],{},[621,4574,638],{},[647,4576,4577],{"encoding":649},"E(X) = M'(0) = 3, \\qquad E(X^2) = M''(0) = 12, \\qquad V(X) = 12 - 3^2 = 3",[574,4579,4581,4608,4666,4734,4790,4829,4847,4891],{"className":4580,"ariaHidden":609},[654],[574,4582,4584,4587,4590,4593,4596,4599,4602,4605],{"className":4583},[658],[574,4585],{"className":4586,"style":1013},[662],[574,4588,595],{"className":4589,"style":669},[667,668],[574,4591,600],{"className":4592},[673],[574,4594,603],{"className":4595,"style":677},[667,668],[574,4597,606],{"className":4598},[681],[574,4600],{"className":4601,"style":1073},[689],[574,4603,900],{"className":4604},[1077],[574,4606],{"className":4607,"style":1073},[689],[574,4609,4611,4615,4648,4651,4654,4657,4660,4663],{"className":4610},[658],[574,4612],{"className":4613,"style":4614},[662],"height:1.0519em;vertical-align:-0.25em;",[574,4616,4618,4621],{"className":4617},[667],[574,4619,889],{"className":4620,"style":1020},[667,668],[574,4622,4624],{"className":4623},[706],[574,4625,4627],{"className":4626},[710],[574,4628,4630],{"className":4629},[714],[574,4631,4634],{"className":4632,"style":4633},[718],"height:0.8019em;",[574,4635,4636,4639],{"style":1534},[574,4637],{"className":4638,"style":727},[726],[574,4640,4642],{"className":4641},[731,732,733,734],[574,4643,4645],{"className":4644},[667,734],[574,4646,1645],{"className":4647},[667,734],[574,4649,600],{"className":4650},[673],[574,4652,922],{"className":4653},[667],[574,4655,606],{"className":4656},[681],[574,4658],{"className":4659,"style":1073},[689],[574,4661,900],{"className":4662},[1077],[574,4664],{"className":4665,"style":1073},[689],[574,4667,4669,4673,4676,4679,4683,4686,4689,4692,4722,4725,4728,4731],{"className":4668},[658],[574,4670],{"className":4671,"style":4672},[662],"height:1.1141em;vertical-align:-0.25em;",[574,4674,638],{"className":4675},[667],[574,4677,610],{"className":4678},[685],[574,4680],{"className":4681,"style":4682},[689],"margin-right:2em;",[574,4684],{"className":4685,"style":690},[689],[574,4687,595],{"className":4688,"style":669},[667,668],[574,4690,600],{"className":4691},[673],[574,4693,4695,4698],{"className":4694},[667],[574,4696,603],{"className":4697,"style":677},[667,668],[574,4699,4701],{"className":4700},[706],[574,4702,4704],{"className":4703},[710],[574,4705,4707],{"className":4706},[714],[574,4708,4711],{"className":4709,"style":4710},[718],"height:0.8641em;",[574,4712,4713,4716],{"style":1534},[574,4714],{"className":4715,"style":727},[726],[574,4717,4719],{"className":4718},[731,732,733,734],[574,4720,623],{"className":4721},[667,734],[574,4723,606],{"className":4724},[681],[574,4726],{"className":4727,"style":1073},[689],[574,4729,900],{"className":4730},[1077],[574,4732],{"className":4733,"style":1073},[689],[574,4735,4737,4740,4772,4775,4778,4781,4784,4787],{"className":4736},[658],[574,4738],{"className":4739,"style":4614},[662],[574,4741,4743,4746],{"className":4742},[667],[574,4744,889],{"className":4745,"style":1020},[667,668],[574,4747,4749],{"className":4748},[706],[574,4750,4752],{"className":4751},[710],[574,4753,4755],{"className":4754},[714],[574,4756,4758],{"className":4757,"style":4633},[718],[574,4759,4760,4763],{"style":1534},[574,4761],{"className":4762,"style":727},[726],[574,4764,4766],{"className":4765},[731,732,733,734],[574,4767,4769],{"className":4768},[667,734],[574,4770,1909],{"className":4771},[667,734],[574,4773,600],{"className":4774},[673],[574,4776,922],{"className":4777},[667],[574,4779,606],{"className":4780},[681],[574,4782],{"className":4783,"style":1073},[689],[574,4785,900],{"className":4786},[1077],[574,4788],{"className":4789,"style":1073},[689],[574,4791,4793,4796,4799,4802,4805,4808,4811,4814,4817,4820,4823,4826],{"className":4792},[658],[574,4794],{"className":4795,"style":1013},[662],[574,4797,4546],{"className":4798},[667],[574,4800,610],{"className":4801},[685],[574,4803],{"className":4804,"style":4682},[689],[574,4806],{"className":4807,"style":690},[689],[574,4809,1773],{"className":4810,"style":1841},[667,668],[574,4812,600],{"className":4813},[673],[574,4815,603],{"className":4816,"style":677},[667,668],[574,4818,606],{"className":4819},[681],[574,4821],{"className":4822,"style":1073},[689],[574,4824,900],{"className":4825},[1077],[574,4827],{"className":4828,"style":1073},[689],[574,4830,4832,4835,4838,4841,4844],{"className":4831},[658],[574,4833],{"className":4834,"style":2940},[662],[574,4836,4546],{"className":4837},[667],[574,4839],{"className":4840,"style":1841},[689],[574,4842,1802],{"className":4843},[1936],[574,4845],{"className":4846,"style":1841},[689],[574,4848,4850,4853,4882,4885,4888],{"className":4849},[658],[574,4851],{"className":4852,"style":4710},[662],[574,4854,4856,4859],{"className":4855},[667],[574,4857,638],{"className":4858},[667],[574,4860,4862],{"className":4861},[706],[574,4863,4865],{"className":4864},[710],[574,4866,4868],{"className":4867},[714],[574,4869,4871],{"className":4870,"style":4710},[718],[574,4872,4873,4876],{"style":1534},[574,4874],{"className":4875,"style":727},[726],[574,4877,4879],{"className":4878},[731,732,733,734],[574,4880,623],{"className":4881},[667,734],[574,4883],{"className":4884,"style":1073},[689],[574,4886,900],{"className":4887},[1077],[574,4889],{"className":4890,"style":1073},[689],[574,4892,4894,4897],{"className":4893},[658],[574,4895],{"className":4896,"style":1608},[662],[574,4898,638],{"className":4899},[667],[565,4901,4902,4903,2511,4954,5103,5104,1758,5328,5553,5554,3050,5725,1758,5922,2051],{},"Exponentialverteilung mit ",[574,4904,4906,4924],{"className":4905},[577],[574,4907,4909],{"className":4908},[581],[583,4910,4911],{"xmlns":585},[587,4912,4913,4921],{},[590,4914,4915,4917,4919],{},[593,4916,3255],{},[597,4918,900],{},[621,4920,623],{},[647,4922,4923],{"encoding":649},"\\lambda = 2",[574,4925,4927,4945],{"className":4926,"ariaHidden":609},[654],[574,4928,4930,4933,4936,4939,4942],{"className":4929},[658],[574,4931],{"className":4932,"style":1575},[662],[574,4934,3255],{"className":4935},[667,668],[574,4937],{"className":4938,"style":1073},[689],[574,4940,900],{"className":4941},[1077],[574,4943],{"className":4944,"style":1073},[689],[574,4946,4948,4951],{"className":4947},[658],[574,4949],{"className":4950,"style":1608},[662],[574,4952,623],{"className":4953},[667],[574,4955,4957,4991],{"className":4956},[577],[574,4958,4960],{"className":4959},[581],[583,4961,4962],{"xmlns":585},[587,4963,4964,4988],{},[590,4965,4966,4968,4970,4972,4974,4976],{},[593,4967,889],{},[597,4969,600],{"stretchy":599},[593,4971,817],{},[597,4973,606],{"stretchy":599},[597,4975,900],{},[928,4977,4978,4980],{},[621,4979,623],{},[590,4981,4982,4984,4986],{},[621,4983,623],{},[597,4985,1802],{},[593,4987,817],{},[647,4989,4990],{"encoding":649},"M(t) = \\frac{2}{2 - t}",[574,4992,4994,5021],{"className":4993,"ariaHidden":609},[654],[574,4995,4997,5000,5003,5006,5009,5012,5015,5018],{"className":4996},[658],[574,4998],{"className":4999,"style":1013},[662],[574,5001,889],{"className":5002,"style":1020},[667,668],[574,5004,600],{"className":5005},[673],[574,5007,817],{"className":5008},[667,668],[574,5010,606],{"className":5011},[681],[574,5013],{"className":5014,"style":1073},[689],[574,5016,900],{"className":5017},[1077],[574,5019],{"className":5020,"style":1073},[689],[574,5022,5024,5028],{"className":5023},[658],[574,5025],{"className":5026,"style":5027},[662],"height:1.2484em;vertical-align:-0.4033em;",[574,5029,5031,5034,5100],{"className":5030},[667],[574,5032],{"className":5033},[673,1194],[574,5035,5037],{"className":5036},[928],[574,5038,5040,5092],{"className":5039},[710,1027],[574,5041,5043,5089],{"className":5042},[714],[574,5044,5047,5067,5075],{"className":5045,"style":5046},[718],"height:0.8451em;",[574,5048,5049,5052],{"style":3490},[574,5050],{"className":5051,"style":1214},[726],[574,5053,5055],{"className":5054},[731,732,733,734],[574,5056,5058,5061,5064],{"className":5057},[667,734],[574,5059,623],{"className":5060},[667,734],[574,5062,1802],{"className":5063},[1936,734],[574,5065,817],{"className":5066},[667,668,734],[574,5068,5069,5072],{"style":1226},[574,5070],{"className":5071,"style":1214},[726],[574,5073],{"className":5074,"style":1234},[1233],[574,5076,5077,5080],{"style":3519},[574,5078],{"className":5079,"style":1214},[726],[574,5081,5083],{"className":5082},[731,732,733,734],[574,5084,5086],{"className":5085},[667,734],[574,5087,623],{"className":5088},[667,734],[574,5090,1051],{"className":5091},[1050],[574,5093,5095],{"className":5094},[714],[574,5096,5098],{"className":5097,"style":3541},[718],[574,5099],{},[574,5101],{"className":5102},[681,1194],", also ",[574,5105,5107,5153],{"className":5106},[577],[574,5108,5110],{"className":5109},[581],[583,5111,5112],{"xmlns":585},[587,5113,5114,5150],{},[590,5115,5116,5122,5124,5126,5128,5130],{},[616,5117,5118,5120],{},[593,5119,889],{},[597,5121,1645],{"mathvariant":925,"lspace":1644,"rspace":1644},[597,5123,600],{"stretchy":599},[593,5125,817],{},[597,5127,606],{"stretchy":599},[597,5129,900],{},[928,5131,5132,5134],{},[621,5133,623],{},[590,5135,5136,5138,5140,5142,5144],{},[597,5137,600],{"stretchy":599},[621,5139,623],{},[597,5141,1802],{},[593,5143,817],{},[616,5145,5146,5148],{},[597,5147,606],{"stretchy":599},[621,5149,623],{},[647,5151,5152],{"encoding":649},"M'(t) = \\frac{2}{(2 - 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= \\frac{4}{(2 - t)^3}",[574,5383,5385,5441],{"className":5384,"ariaHidden":609},[654],[574,5386,5388,5391,5423,5426,5429,5432,5435,5438],{"className":5387},[658],[574,5389],{"className":5390,"style":4123},[662],[574,5392,5394,5397],{"className":5393},[667],[574,5395,889],{"className":5396,"style":1020},[667,668],[574,5398,5400],{"className":5399},[706],[574,5401,5403],{"className":5402},[710],[574,5404,5406],{"className":5405},[714],[574,5407,5409],{"className":5408,"style":1710},[718],[574,5410,5411,5414],{"style":722},[574,5412],{"className":5413,"style":727},[726],[574,5415,5417],{"className":5416},[731,732,733,734],[574,5418,5420],{"className":5419},[667,734],[574,5421,1909],{"className":5422},[667,734],[574,5424,600],{"className":5425},[673],[574,5427,817],{"className":5428},[667,668],[574,5430,606],{"className":5431},[681],[574,5433],{"className":5434,"style":1073},[689],[574,5436,900],{"className":5437},[1077],[574,5439],{"className":5440,"style":1073},[689],[574,5442,5444,5447],{"className":5443},[658],[574,5445],{"className":5446,"style":5218},[662],[574,5448,5450,5453,5550],{"className":5449},[667],[574,5451],{"className":5452},[673,1194],[574,5454,5456],{"className":5455},[928],[574,5457,5459,5542],{"className":5458},[710,1027],[574,5460,5462,5539],{"className":5461},[714],[574,5463,5465,5517,5525],{"className":5464,"style":5046},[718],[574,5466,5467,5470],{"style":3490},[574,5468],{"className":5469,"style":1214},[726],[574,5471,5473],{"className":5472},[731,732,733,734],[574,5474,5476,5479,5482,5485,5488],{"className":5475},[667,734],[574,5477,600],{"className":5478},[673,734],[574,5480,623],{"className":5481},[667,734],[574,5483,1802],{"className":5484},[1936,734],[574,5486,817],{"className":5487},[667,668,734],[574,5489,5491,5494],{"className":5490},[681,734],[574,5492,606],{"className":5493},[681,734],[574,5495,5497],{"className":5496},[706],[574,5498,5500],{"className":5499},[710],[574,5501,5503],{"className":5502},[714],[574,5504,5506],{"className":5505,"style":5278},[718],[574,5507,5508,5511],{"style":5281},[574,5509],{"className":5510,"style":3380},[726],[574,5512,5514],{"className":5513},[731,3384,1953,734],[574,5515,638],{"className":5516},[667,734],[574,5518,5519,5522],{"style":1226},[574,5520],{"className":5521,"style":1214},[726],[574,5523],{"className":5524,"style":1234},[1233],[574,5526,5527,5530],{"style":3519},[574,5528],{"className":5529,"style":1214},[726],[574,5531,5533],{"className":5532},[731,732,733,734],[574,5534,5536],{"className":5535},[667,734],[574,5537,5362],{"className":5538},[667,734],[574,5540,1051],{"className":5541},[1050],[574,5543,5545],{"className":5544},[714],[574,5546,5548],{"className":5547,"style":5322},[718],[574,5549],{},[574,5551],{"className":5552},[681,1194],". Damit ",[574,5555,5557,5590],{"className":5556},[577],[574,5558,5560],{"className":5559},[581],[583,5561,5562],{"xmlns":585},[587,5563,5564,5587],{},[590,5565,5566,5568,5570,5572,5574,5576,5582,5584],{},[593,5567,595],{},[597,5569,600],{"stretchy":599},[593,5571,603],{},[597,5573,606],{"stretchy":599},[597,5575,900],{},[928,5577,5578,5580],{},[621,5579,623],{},[621,5581,5362],{},[597,5583,900],{},[621,5585,5586],{},"0,5",[647,5588,5589],{"encoding":649},"E(X) = \\frac{2}{4} = 0{,}5",[574,5591,5593,5620,5705],{"className":5592,"ariaHidden":609},[654],[574,5594,5596,5599,5602,5605,5608,5611,5614,5617],{"className":5595},[658],[574,5597],{"className":5598,"style":1013},[662],[574,5600,595],{"className":5601,"style":669},[667,668],[574,5603,600],{"className":5604},[673],[574,5606,603],{"className":5607,"style":677},[667,668],[574,5609,606],{"className":5610},[681],[574,5612],{"className":5613,"style":1073},[689],[574,5615,900],{"className":5616},[1077],[574,5618],{"className":5619,"style":1073},[689],[574,5621,5623,5627,5696,5699,5702],{"className":5622},[658],[574,5624],{"className":5625,"style":5626},[662],"height:1.1901em;vertical-align:-0.345em;",[574,5628,5630,5633,5693],{"className":5629},[667],[574,5631],{"className":5632},[673,1194],[574,5634,5636],{"className":5635},[928],[574,5637,5639,5684],{"className":5638},[710,1027],[574,5640,5642,5681],{"className":5641},[714],[574,5643,5645,5659,5667],{"className":5644,"style":5046},[718],[574,5646,5647,5650],{"style":3490},[574,5648],{"className":5649,"style":1214},[726],[574,5651,5653],{"className":5652},[731,732,733,734],[574,5654,5656],{"className":5655},[667,734],[574,5657,5362],{"className":5658},[667,734],[574,5660,5661,5664],{"style":1226},[574,5662],{"className":5663,"style":1214},[726],[574,5665],{"className":5666,"style":1234},[1233],[574,5668,5669,5672],{"style":3519},[574,5670],{"className":5671,"style":1214},[726],[574,5673,5675],{"className":5674},[731,732,733,734],[574,5676,5678],{"className":5677},[667,734],[574,5679,623],{"className":5680},[667,734],[574,5682,1051],{"className":5683},[1050],[574,5685,5687],{"className":5686},[714],[574,5688,5691],{"className":5689,"style":5690},[718],"height:0.345em;",[574,5692],{},[574,5694],{"className":5695},[681,1194],[574,5697],{"className":5698,"style":1073},[689],[574,5700,900],{"className":5701},[1077],[574,5703],{"className":5704,"style":1073},[689],[574,5706,5708,5712,5715,5721],{"className":5707},[658],[574,5709],{"className":5710,"style":5711},[662],"height:0.8389em;vertical-align:-0.1944em;",[574,5713,922],{"className":5714},[667],[574,5716,5718],{"className":5717},[667],[574,5719,610],{"className":5720},[685],[574,5722,5724],{"className":5723},[667],"5",[574,5726,5728,5765],{"className":5727},[577],[574,5729,5731],{"className":5730},[581],[583,5732,5733],{"xmlns":585},[587,5734,5735,5762],{},[590,5736,5737,5739,5741,5747,5749,5751,5758,5760],{},[593,5738,595],{},[597,5740,600],{"stretchy":599},[616,5742,5743,5745],{},[593,5744,603],{},[621,5746,623],{},[597,5748,606],{"stretchy":599},[597,5750,900],{},[928,5752,5753,5755],{},[621,5754,5362],{},[621,5756,5757],{},"8",[597,5759,900],{},[621,5761,5586],{},[647,5763,5764],{"encoding":649},"E(X^2) = \\frac{4}{8} = 0{,}5",[574,5766,5768,5821,5904],{"className":5767,"ariaHidden":609},[654],[574,5769,5771,5774,5777,5780,5809,5812,5815,5818],{"className":5770},[658],[574,5772],{"className":5773,"style":663},[662],[574,5775,595],{"className":5776,"style":669},[667,668],[574,5778,600],{"className":5779},[673],[574,5781,5783,5786],{"className":5782},[667],[574,5784,603],{"className":5785,"style":677},[667,668],[574,5787,5789],{"className":5788},[706],[574,5790,5792],{"className":5791},[710],[574,5793,5795],{"className":5794},[714],[574,5796,5798],{"className":5797,"style":719},[718],[574,5799,5800,5803],{"style":722},[574,5801],{"className":5802,"style":727},[726],[574,5804,5806],{"className":5805},[731,732,733,734],[574,5807,623],{"className":5808},[667,734],[574,5810,606],{"className":5811},[681],[574,5813],{"className":5814,"style":1073},[689],[574,5816,900],{"className":5817},[1077],[574,5819],{"className":5820,"style":1073},[689],[574,5822,5824,5827,5895,5898,5901],{"className":5823},[658],[574,5825],{"className":5826,"style":5626},[662],[574,5828,5830,5833,5892],{"className":5829},[667],[574,5831],{"className":5832},[673,1194],[574,5834,5836],{"className":5835},[928],[574,5837,5839,5884],{"className":5838},[710,1027],[574,5840,5842,5881],{"className":5841},[714],[574,5843,5845,5859,5867],{"className":5844,"style":5046},[718],[574,5846,5847,5850],{"style":3490},[574,5848],{"className":5849,"style":1214},[726],[574,5851,5853],{"className":5852},[731,732,733,734],[574,5854,5856],{"className":5855},[667,734],[574,5857,5757],{"className":5858},[667,734],[574,5860,5861,5864],{"style":1226},[574,5862],{"className":5863,"style":1214},[726],[574,5865],{"className":5866,"style":1234},[1233],[574,5868,5869,5872],{"style":3519},[574,5870],{"className":5871,"style":1214},[726],[574,5873,5875],{"className":5874},[731,732,733,734],[574,5876,5878],{"className":5877},[667,734],[574,5879,5362],{"className":5880},[667,734],[574,5882,1051],{"className":5883},[1050],[574,5885,5887],{"className":5886},[714],[574,5888,5890],{"className":5889,"style":5690},[718],[574,5891],{},[574,5893],{"className":5894},[681,1194],[574,5896],{"className":5897,"style":1073},[689],[574,5899,900],{"className":5900},[1077],[574,5902],{"className":5903,"style":1073},[689],[574,5905,5907,5910,5913,5919],{"className":5906},[658],[574,5908],{"className":5909,"style":5711},[662],[574,5911,922],{"className":5912},[667],[574,5914,5916],{"className":5915},[667],[574,5917,610],{"className":5918},[685],[574,5920,5724],{"className":5921},[667],[574,5923,5925,5958],{"className":5924},[577],[574,5926,5928],{"className":5927},[581],[583,5929,5930],{"xmlns":585},[587,5931,5932,5955],{},[590,5933,5934,5936,5938,5940,5942,5944,5946,5948,5951,5953],{},[593,5935,1773],{},[597,5937,600],{"stretchy":599},[593,5939,603],{},[597,5941,606],{"stretchy":599},[597,5943,900],{},[621,5945,5586],{},[597,5947,1802],{},[621,5949,5950],{},"0,25",[597,5952,900],{},[621,5954,5950],{},[647,5956,5957],{"encoding":649},"V(X) = 0{,}5 - 0{,}25 = 0{,}25",[574,5959,5961,5988,6015,6043],{"className":5960,"ariaHidden":609},[654],[574,5962,5964,5967,5970,5973,5976,5979,5982,5985],{"className":5963},[658],[574,5965],{"className":5966,"style":1013},[662],[574,5968,1773],{"className":5969,"style":1841},[667,668],[574,5971,600],{"className":5972},[673],[574,5974,603],{"className":5975,"style":677},[667,668],[574,5977,606],{"className":5978},[681],[574,5980],{"className":5981,"style":1073},[689],[574,5983,900],{"className":5984},[1077],[574,5986],{"className":5987,"style":1073},[689],[574,5989,5991,5994,5997,6003,6006,6009,6012],{"className":5990},[658],[574,5992],{"className":5993,"style":5711},[662],[574,5995,922],{"className":5996},[667],[574,5998,6000],{"className":5999},[667],[574,6001,610],{"className":6002},[685],[574,6004,5724],{"className":6005},[667],[574,6007],{"className":6008,"style":1841},[689],[574,6010,1802],{"className":6011},[1936],[574,6013],{"className":6014,"style":1841},[689],[574,6016,6018,6021,6024,6030,6034,6037,6040],{"className":6017},[658],[574,6019],{"className":6020,"style":5711},[662],[574,6022,922],{"className":6023},[667],[574,6025,6027],{"className":6026},[667],[574,6028,610],{"className":6029},[685],[574,6031,6033],{"className":6032},[667],"25",[574,6035],{"className":6036,"style":1073},[689],[574,6038,900],{"className":6039},[1077],[574,6041],{"className":6042,"style":1073},[689],[574,6044,6046,6049,6052,6058],{"className":6045},[658],[574,6047],{"className":6048,"style":5711},[662],[574,6050,922],{"className":6051},[667],[574,6053,6055],{"className":6054},[667],[574,6056,610],{"className":6057},[685],[574,6059,6033],{"className":6060},[667],[565,6062,6063,6064,1758,6092,6120,6121,1758,6149,6177,6178,6461,6462,6514,6515,2051],{},"Summen: Sind ",[574,6065,6067,6080],{"className":6066},[577],[574,6068,6070],{"className":6069},[581],[583,6071,6072],{"xmlns":585},[587,6073,6074,6078],{},[590,6075,6076],{},[593,6077,603],{},[647,6079,603],{"encoding":649},[574,6081,6083],{"className":6082,"ariaHidden":609},[654],[574,6084,6086,6089],{"className":6085},[658],[574,6087],{"className":6088,"style":2191},[662],[574,6090,603],{"className":6091,"style":677},[667,668],[574,6093,6095,6108],{"className":6094},[577],[574,6096,6098],{"className":6097},[581],[583,6099,6100],{"xmlns":585},[587,6101,6102,6106],{},[590,6103,6104],{},[593,6105,2220],{},[647,6107,2220],{"encoding":649},[574,6109,6111],{"className":6110,"ariaHidden":609},[654],[574,6112,6114,6117],{"className":6113},[658],[574,6115],{"className":6116,"style":2191},[662],[574,6118,2220],{"className":6119,"style":1841},[667,668]," unabhängig Poisson-verteilt mit ",[574,6122,6124,6137],{"className":6123},[577],[574,6125,6127],{"className":6126},[581],[583,6128,6129],{"xmlns":585},[587,6130,6131,6135],{},[590,6132,6133],{},[593,6134,2532],{},[647,6136,2532],{"encoding":649},[574,6138,6140],{"className":6139,"ariaHidden":609},[654],[574,6141,6143,6146],{"className":6142},[658],[574,6144],{"className":6145,"style":3046},[662],[574,6147,2532],{"className":6148},[667,668],[574,6150,6152,6165],{"className":6151},[577],[574,6153,6155],{"className":6154},[581],[583,6156,6157],{"xmlns":585},[587,6158,6159,6163],{},[590,6160,6161],{},[593,6162,2539],{},[647,6164,2539],{"encoding":649},[574,6166,6168],{"className":6167,"ariaHidden":609},[654],[574,6169,6171,6174],{"className":6170},[658],[574,6172],{"className":6173,"style":1575},[662],[574,6175,2539],{"className":6176},[667,668],", dann ist ",[574,6179,6181,6251],{"className":6180},[577],[574,6182,6184],{"className":6183},[581],[583,6185,6186],{"xmlns":585},[587,6187,6188,6248],{},[590,6189,6190,6196,6198,6200,6202,6204,6210,6212,6214,6216,6218],{},[885,6191,6192,6194],{},[593,6193,889],{},[593,6195,603],{},[597,6197,600],{"stretchy":599},[593,6199,817],{},[597,6201,606],{"stretchy":599},[992,6203,994],{},[885,6205,6206,6208],{},[593,6207,889],{},[593,6209,2220],{},[597,6211,600],{"stretchy":599},[593,6213,817],{},[597,6215,606],{"stretchy":599},[597,6217,900],{},[616,6219,6220,6222],{},[593,6221,812],{},[590,6223,6224,6226,6228,6230,6232,6234,6236,6242,6244,6246],{},[597,6225,600],{"stretchy":599},[593,6227,2532],{},[597,6229,2269],{},[593,6231,2539],{},[597,6233,606],{"stretchy":599},[597,6235,600],{"stretchy":599},[616,6237,6238,6240],{},[593,6239,812],{},[593,6241,817],{},[597,6243,1802],{},[621,6245,2911],{},[597,6247,606],{"stretchy":599},[647,6249,6250],{"encoding":649},"M_X(t)\\,M_Y(t) = e^{(a+b)(e^t - 1)}",[574,6252,6254,6370],{"className":6253,"ariaHidden":609},[654],[574,6255,6257,6260,6300,6303,6306,6309,6312,6352,6355,6358,6361,6364,6367],{"className":6256},[658],[574,6258],{"className":6259,"style":1013},[662],[574,6261,6263,6266],{"className":6262},[667],[574,6264,889],{"className":6265,"style":1020},[667,668],[574,6267,6269],{"className":6268},[706],[574,6270,6272,6292],{"className":6271},[710,1027],[574,6273,6275,6289],{"className":6274},[714],[574,6276,6278],{"className":6277,"style":1034},[718],[574,6279,6280,6283],{"style":1037},[574,6281],{"className":6282,"style":727},[726],[574,6284,6286],{"className":6285},[731,732,733,734],[574,6287,603],{"className":6288,"style":677},[667,668,734],[574,6290,1051],{"className":6291},[1050],[574,6293,6295],{"className":6294},[714],[574,6296,6298],{"className":6297,"style":1058},[718],[574,6299],{},[574,6301,600],{"className":6302},[673],[574,6304,817],{"className":6305},[667,668],[574,6307,606],{"className":6308},[681],[574,6310],{"className":6311,"style":690},[689],[574,6313,6315,6318],{"className":6314},[667],[574,6316,889],{"className":6317,"style":1020},[667,668],[574,6319,6321],{"className":6320},[706],[574,6322,6324,6344],{"className":6323},[710,1027],[574,6325,6327,6341],{"className":6326},[714],[574,6328,6330],{"className":6329,"style":1034},[718],[574,6331,6332,6335],{"style":1037},[574,6333],{"className":6334,"style":727},[726],[574,6336,6338],{"className":6337},[731,732,733,734],[574,6339,2220],{"className":6340,"style":1841},[667,668,734],[574,6342,1051],{"className":6343},[1050],[574,6345,6347],{"className":6346},[714],[574,6348,6350],{"className":6349,"style":1058},[718],[574,6351],{},[574,6353,600],{"className":6354},[673],[574,6356,817],{"className":6357},[667,668],[574,6359,606],{"className":6360},[681],[574,6362],{"className":6363,"style":1073},[689],[574,6365,900],{"className":6366},[1077],[574,6368],{"className":6369,"style":1073},[689],[574,6371,6373,6376],{"className":6372},[658],[574,6374],{"className":6375,"style":3319},[662],[574,6377,6379,6382],{"className":6378},[667],[574,6380,812],{"className":6381},[667,668],[574,6383,6385],{"className":6384},[706],[574,6386,6388],{"className":6387},[710],[574,6389,6391],{"className":6390},[714],[574,6392,6394],{"className":6393,"style":3319},[718],[574,6395,6396,6399],{"style":722},[574,6397],{"className":6398,"style":727},[726],[574,6400,6402],{"className":6401},[731,732,733,734],[574,6403,6405,6408,6411,6414,6417,6420,6423,6452,6455,6458],{"className":6404},[667,734],[574,6406,600],{"className":6407},[673,734],[574,6409,2532],{"className":6410},[667,668,734],[574,6412,2269],{"className":6413},[1936,734],[574,6415,2539],{"className":6416},[667,668,734],[574,6418,606],{"className":6419},[681,734],[574,6421,600],{"className":6422},[673,734],[574,6424,6426,6429],{"className":6425},[667,734],[574,6427,812],{"className":6428},[667,668,734],[574,6430,6432],{"className":6431},[706],[574,6433,6435],{"className":6434},[710],[574,6436,6438],{"className":6437},[714],[574,6439,6441],{"className":6440,"style":3373},[718],[574,6442,6443,6446],{"style":3376},[574,6444],{"className":6445,"style":3380},[726],[574,6447,6449],{"className":6448},[731,3384,1953,734],[574,6450,817],{"className":6451},[667,668,734],[574,6453,1802],{"className":6454},[1936,734],[574,6456,2911],{"className":6457},[667,734],[574,6459,606],{"className":6460},[681,734],". Wegen der Eindeutigkeit ist ",[574,6463,6465,6483],{"className":6464},[577],[574,6466,6468],{"className":6467},[581],[583,6469,6470],{"xmlns":585},[587,6471,6472,6480],{},[590,6473,6474,6476,6478],{},[593,6475,603],{},[597,6477,2269],{},[593,6479,2220],{},[647,6481,6482],{"encoding":649},"X + Y",[574,6484,6486,6505],{"className":6485,"ariaHidden":609},[654],[574,6487,6489,6493,6496,6499,6502],{"className":6488},[658],[574,6490],{"className":6491,"style":6492},[662],"height:0.7667em;vertical-align:-0.0833em;",[574,6494,603],{"className":6495,"style":677},[667,668],[574,6497],{"className":6498,"style":1841},[689],[574,6500,2269],{"className":6501},[1936],[574,6503],{"className":6504,"style":1841},[689],[574,6506,6508,6511],{"className":6507},[658],[574,6509],{"className":6510,"style":2191},[662],[574,6512,2220],{"className":6513,"style":1841},[667,668]," Poisson-verteilt mit ",[574,6516,6518,6536],{"className":6517},[577],[574,6519,6521],{"className":6520},[581],[583,6522,6523],{"xmlns":585},[587,6524,6525,6533],{},[590,6526,6527,6529,6531],{},[593,6528,2532],{},[597,6530,2269],{},[593,6532,2539],{},[647,6534,6535],{"encoding":649},"a + b",[574,6537,6539,6558],{"className":6538,"ariaHidden":609},[654],[574,6540,6542,6546,6549,6552,6555],{"className":6541},[658],[574,6543],{"className":6544,"style":6545},[662],"height:0.6667em;vertical-align:-0.0833em;",[574,6547,2532],{"className":6548},[667,668],[574,6550],{"className":6551,"style":1841},[689],[574,6553,2269],{"className":6554},[1936],[574,6556],{"className":6557,"style":1841},[689],[574,6559,6561,6564],{"className":6560},[658],[574,6562],{"className":6563,"style":1575},[662],[574,6565,2539],{"className":6566},[667,668],[560,6568,6570],{"id":6569},"typische-fehler","Typische Fehler",[2056,6572,6573,6680,7212,7428],{},[2059,6574,6575,6576,6628,6629,2051],{},"An der falschen Stelle ableiten. Die Momente erhält man an ",[574,6577,6579,6597],{"className":6578},[577],[574,6580,6582],{"className":6581},[581],[583,6583,6584],{"xmlns":585},[587,6585,6586,6594],{},[590,6587,6588,6590,6592],{},[593,6589,817],{},[597,6591,900],{},[621,6593,922],{},[647,6595,6596],{"encoding":649},"t = 0",[574,6598,6600,6619],{"className":6599,"ariaHidden":609},[654],[574,6601,6603,6607,6610,6613,6616],{"className":6602},[658],[574,6604],{"className":6605,"style":6606},[662],"height:0.6151em;",[574,6608,817],{"className":6609},[667,668],[574,6611],{"className":6612,"style":1073},[689],[574,6614,900],{"className":6615},[1077],[574,6617],{"className":6618,"style":1073},[689],[574,6620,6622,6625],{"className":6621},[658],[574,6623],{"className":6624,"style":1608},[662],[574,6626,922],{"className":6627},[667],", nicht an ",[574,6630,6632,6650],{"className":6631},[577],[574,6633,6635],{"className":6634},[581],[583,6636,6637],{"xmlns":585},[587,6638,6639,6647],{},[590,6640,6641,6643,6645],{},[593,6642,817],{},[597,6644,900],{},[621,6646,2911],{},[647,6648,6649],{"encoding":649},"t = 1",[574,6651,6653,6671],{"className":6652,"ariaHidden":609},[654],[574,6654,6656,6659,6662,6665,6668],{"className":6655},[658],[574,6657],{"className":6658,"style":6606},[662],[574,6660,817],{"className":6661},[667,668],[574,6663],{"className":6664,"style":1073},[689],[574,6666,900],{"className":6667},[1077],[574,6669],{"className":6670,"style":1073},[689],[574,6672,6674,6677],{"className":6673},[658],[574,6675],{"className":6676,"style":1608},[662],[574,6678,2911],{"className":6679},[667],[2059,6681,6682,6787,6788,2246,6892,6966,6967,2051],{},[574,6683,6685,6715],{"className":6684},[577],[574,6686,6688],{"className":6687},[581],[583,6689,6690],{"xmlns":585},[587,6691,6692,6712],{},[590,6693,6694,6706,6708,6710],{},[1636,6695,6696,6698,6700],{},[593,6697,889],{},[593,6699,603],{},[590,6701,6702,6704],{},[597,6703,1645],{"mathvariant":925},[597,6705,1645],{"mathvariant":925},[597,6707,600],{"stretchy":599},[621,6709,922],{},[597,6711,606],{"stretchy":599},[647,6713,6714],{"encoding":649},"M_X''(0)",[574,6716,6718],{"className":6717,"ariaHidden":609},[654],[574,6719,6721,6724,6778,6781,6784],{"className":6720},[658],[574,6722],{"className":6723,"style":1691},[662],[574,6725,6727,6730],{"className":6726},[667],[574,6728,889],{"className":6729,"style":1020},[667,668],[574,6731,6733],{"className":6732},[706],[574,6734,6736,6770],{"className":6735},[710,1027],[574,6737,6739,6767],{"className":6738},[714],[574,6740,6742,6753],{"className":6741,"style":1710},[718],[574,6743,6744,6747],{"style":1713},[574,6745],{"className":6746,"style":727},[726],[574,6748,6750],{"className":6749},[731,732,733,734],[574,6751,603],{"className":6752,"style":677},[667,668,734],[574,6754,6755,6758],{"style":722},[574,6756],{"className":6757,"style":727},[726],[574,6759,6761],{"className":6760},[731,732,733,734],[574,6762,6764],{"className":6763},[667,734],[574,6765,1909],{"className":6766},[667,734],[574,6768,1051],{"className":6769},[1050],[574,6771,6773],{"className":6772},[714],[574,6774,6776],{"className":6775,"style":1746},[718],[574,6777],{},[574,6779,600],{"className":6780},[673],[574,6782,922],{"className":6783},[667],[574,6785,606],{"className":6786},[681]," für die Varianz halten. ",[574,6789,6791,6820],{"className":6790},[577],[574,6792,6794],{"className":6793},[581],[583,6795,6796],{"xmlns":585},[587,6797,6798,6818],{},[590,6799,6800,6812,6814,6816],{},[1636,6801,6802,6804,6806],{},[593,6803,889],{},[593,6805,603],{},[590,6807,6808,6810],{},[597,6809,1645],{"mathvariant":925},[597,6811,1645],{"mathvariant":925},[597,6813,600],{"stretchy":599},[621,6815,922],{},[597,6817,606],{"stretchy":599},[647,6819,6714],{"encoding":649},[574,6821,6823],{"className":6822,"ariaHidden":609},[654],[574,6824,6826,6829,6883,6886,6889],{"className":6825},[658],[574,6827],{"className":6828,"style":1691},[662],[574,6830,6832,6835],{"className":6831},[667],[574,6833,889],{"className":6834,"style":1020},[667,668],[574,6836,6838],{"className":6837},[706],[574,6839,6841,6875],{"className":6840},[710,1027],[574,6842,6844,6872],{"className":6843},[714],[574,6845,6847,6858],{"className":6846,"style":1710},[718],[574,6848,6849,6852],{"style":1713},[574,6850],{"className":6851,"style":727},[726],[574,6853,6855],{"className":6854},[731,732,733,734],[574,6856,603],{"className":6857,"style":677},[667,668,734],[574,6859,6860,6863],{"style":722},[574,6861],{"className":6862,"style":727},[726],[574,6864,6866],{"className":6865},[731,732,733,734],[574,6867,6869],{"className":6868},[667,734],[574,6870,1909],{"className":6871},[667,734],[574,6873,1051],{"className":6874},[1050],[574,6876,6878],{"className":6877},[714],[574,6879,6881],{"className":6880,"style":1746},[718],[574,6882],{},[574,6884,600],{"className":6885},[673],[574,6887,922],{"className":6888},[667],[574,6890,606],{"className":6891},[681],[574,6893,6895,6919],{"className":6894},[577],[574,6896,6898],{"className":6897},[581],[583,6899,6900],{"xmlns":585},[587,6901,6902,6916],{},[590,6903,6904,6906,6908,6914],{},[593,6905,595],{},[597,6907,600],{"stretchy":599},[616,6909,6910,6912],{},[593,6911,603],{},[621,6913,623],{},[597,6915,606],{"stretchy":599},[647,6917,6918],{"encoding":649},"E(X^2)",[574,6920,6922],{"className":6921,"ariaHidden":609},[654],[574,6923,6925,6928,6931,6934,6963],{"className":6924},[658],[574,6926],{"className":6927,"style":663},[662],[574,6929,595],{"className":6930,"style":669},[667,668],[574,6932,600],{"className":6933},[673],[574,6935,6937,6940],{"className":6936},[667],[574,6938,603],{"className":6939,"style":677},[667,668],[574,6941,6943],{"className":6942},[706],[574,6944,6946],{"className":6945},[710],[574,6947,6949],{"className":6948},[714],[574,6950,6952],{"className":6951,"style":719},[718],[574,6953,6954,6957],{"style":722},[574,6955],{"className":6956,"style":727},[726],[574,6958,6960],{"className":6959},[731,732,733,734],[574,6961,623],{"className":6962},[667,734],[574,6964,606],{"className":6965},[681],", die Varianz ist ",[574,6968,6970,7024],{"className":6969},[577],[574,6971,6973],{"className":6972},[581],[583,6974,6975],{"xmlns":585},[587,6976,6977,7021],{},[590,6978,6979,6991,6993,6995,6997,6999,7001,7009,7011,7013,7015],{},[1636,6980,6981,6983,6985],{},[593,6982,889],{},[593,6984,603],{},[590,6986,6987,6989],{},[597,6988,1645],{"mathvariant":925},[597,6990,1645],{"mathvariant":925},[597,6992,600],{"stretchy":599},[621,6994,922],{},[597,6996,606],{"stretchy":599},[597,6998,1802],{},[597,7000,600],{"fence":599,"stretchy":609,"minsize":1805,"maxsize":1805},[1636,7002,7003,7005,7007],{},[593,7004,889],{},[593,7006,603],{},[597,7008,1645],{"mathvariant":925,"lspace":1644,"rspace":1644},[597,7010,600],{"stretchy":599},[621,7012,922],{},[597,7014,606],{"stretchy":599},[616,7016,7017,7019],{},[597,7018,606],{"fence":599,"stretchy":609,"minsize":1805,"maxsize":1805},[621,7020,623],{},[647,7022,7023],{"encoding":649},"M_X''(0) - \\big(M_X'(0)\\big)^2",[574,7025,7027,7105],{"className":7026,"ariaHidden":609},[654],[574,7028,7030,7033,7087,7090,7093,7096,7099,7102],{"className":7029},[658],[574,7031],{"className":7032,"style":1691},[662],[574,7034,7036,7039],{"className":7035},[667],[574,7037,889],{"className":7038,"style":1020},[667,668],[574,7040,7042],{"className":7041},[706],[574,7043,7045,7079],{"className":7044},[710,1027],[574,7046,7048,7076],{"className":7047},[714],[574,7049,7051,7062],{"className":7050,"style":1710},[718],[574,7052,7053,7056],{"style":1713},[574,7054],{"className":7055,"style":727},[726],[574,7057,7059],{"className":7058},[731,732,733,734],[574,7060,603],{"className":7061,"style":677},[667,668,734],[574,7063,7064,7067],{"style":722},[574,7065],{"className":7066,"style":727},[726],[574,7068,7070],{"className":7069},[731,732,733,734],[574,7071,7073],{"className":7072},[667,734],[574,7074,1909],{"className":7075},[667,734],[574,7077,1051],{"className":7078},[1050],[574,7080,7082],{"className":7081},[714],[574,7083,7085],{"className":7084,"style":1746},[718],[574,7086],{},[574,7088,600],{"className":7089},[673],[574,7091,922],{"className":7092},[667],[574,7094,606],{"className":7095},[681],[574,7097],{"className":7098,"style":1841},[689],[574,7100,1802],{"className":7101},[1936],[574,7103],{"className":7104,"style":1841},[689],[574,7106,7108,7111,7117,7171,7174,7177,7180],{"className":7107},[658],[574,7109],{"className":7110,"style":1946},[662],[574,7112,7114],{"className":7113},[667],[574,7115,600],{"className":7116},[1105,1953],[574,7118,7120,7123],{"className":7119},[667],[574,7121,889],{"className":7122,"style":1020},[667,668],[574,7124,7126],{"className":7125},[706],[574,7127,7129,7163],{"className":7128},[710,1027],[574,7130,7132,7160],{"className":7131},[714],[574,7133,7135,7146],{"className":7134,"style":1710},[718],[574,7136,7137,7140],{"style":1713},[574,7138],{"className":7139,"style":727},[726],[574,7141,7143],{"className":7142},[731,732,733,734],[574,7144,603],{"className":7145,"style":677},[667,668,734],[574,7147,7148,7151],{"style":722},[574,7149],{"className":7150,"style":727},[726],[574,7152,7154],{"className":7153},[731,732,733,734],[574,7155,7157],{"className":7156},[667,734],[574,7158,1645],{"className":7159},[667,734],[574,7161,1051],{"className":7162},[1050],[574,7164,7166],{"className":7165},[714],[574,7167,7169],{"className":7168,"style":1746},[718],[574,7170],{},[574,7172,600],{"className":7173},[673],[574,7175,922],{"className":7176},[667],[574,7178,606],{"className":7179},[681],[574,7181,7183,7189],{"className":7182},[667],[574,7184,7186],{"className":7185},[667],[574,7187,606],{"className":7188},[1105,1953],[574,7190,7192],{"className":7191},[706],[574,7193,7195],{"className":7194},[710],[574,7196,7198],{"className":7197},[714],[574,7199,7201],{"className":7200,"style":2038},[718],[574,7202,7203,7206],{"style":2041},[574,7204],{"className":7205,"style":727},[726],[574,7207,7209],{"className":7208},[731,732,733,734],[574,7210,623],{"className":7211},[667,734],[2059,7213,7214,7215,7427],{},"Die Produktregel ",[574,7216,7218,7258],{"className":7217},[577],[574,7219,7221],{"className":7220},[581],[583,7222,7223],{"xmlns":585},[587,7224,7225,7255],{},[590,7226,7227,7239,7241,7247,7249],{},[885,7228,7229,7231],{},[593,7230,889],{},[590,7232,7233,7235,7237],{},[593,7234,603],{},[597,7236,2269],{},[593,7238,2220],{},[597,7240,900],{},[885,7242,7243,7245],{},[593,7244,889],{},[593,7246,603],{},[597,7248,2294],{},[885,7250,7251,7253],{},[593,7252,889],{},[593,7254,2220],{},[647,7256,7257],{"encoding":649},"M_{X+Y} = M_X \\cdot M_Y",[574,7259,7261,7326,7381],{"className":7260,"ariaHidden":609},[654],[574,7262,7264,7268,7317,7320,7323],{"className":7263},[658],[574,7265],{"className":7266,"style":7267},[662],"height:0.8917em;vertical-align:-0.2083em;",[574,7269,7271,7274],{"className":7270},[667],[574,7272,889],{"className":7273,"style":1020},[667,668],[574,7275,7277],{"className":7276},[706],[574,7278,7280,7309],{"className":7279},[710,1027],[574,7281,7283,7306],{"className":7282},[714],[574,7284,7286],{"className":7285,"style":1034},[718],[574,7287,7288,7291],{"style":1037},[574,7289],{"className":7290,"style":727},[726],[574,7292,7294],{"className":7293},[731,732,733,734],[574,7295,7297,7300,7303],{"className":7296},[667,734],[574,7298,603],{"className":7299,"style":677},[667,668,734],[574,7301,2269],{"className":7302},[1936,734],[574,7304,2220],{"className":7305,"style":1841},[667,668,734],[574,7307,1051],{"className":7308},[1050],[574,7310,7312],{"className":7311},[714],[574,7313,7315],{"className":7314,"style":2366},[718],[574,7316],{},[574,7318],{"className":7319,"style":1073},[689],[574,7321,900],{"className":7322},[1077],[574,7324],{"className":7325,"style":1073},[689],[574,7327,7329,7332,7372,7375,7378],{"className":7328},[658],[574,7330],{"className":7331,"style":2095},[662],[574,7333,7335,7338],{"className":7334},[667],[574,7336,889],{"className":7337,"style":1020},[667,668],[574,7339,7341],{"className":7340},[706],[574,7342,7344,7364],{"className":7343},[710,1027],[574,7345,7347,7361],{"className":7346},[714],[574,7348,7350],{"className":7349,"style":1034},[718],[574,7351,7352,7355],{"style":1037},[574,7353],{"className":7354,"style":727},[726],[574,7356,7358],{"className":7357},[731,732,733,734],[574,7359,603],{"className":7360,"style":677},[667,668,734],[574,7362,1051],{"className":7363},[1050],[574,7365,7367],{"className":7366},[714],[574,7368,7370],{"className":7369,"style":1058},[718],[574,7371],{},[574,7373],{"className":7374,"style":1841},[689],[574,7376,2294],{"className":7377},[1936],[574,7379],{"className":7380,"style":1841},[689],[574,7382,7384,7387],{"className":7383},[658],[574,7385],{"className":7386,"style":2095},[662],[574,7388,7390,7393],{"className":7389},[667],[574,7391,889],{"className":7392,"style":1020},[667,668],[574,7394,7396],{"className":7395},[706],[574,7397,7399,7419],{"className":7398},[710,1027],[574,7400,7402,7416],{"className":7401},[714],[574,7403,7405],{"className":7404,"style":1034},[718],[574,7406,7407,7410],{"style":1037},[574,7408],{"className":7409,"style":727},[726],[574,7411,7413],{"className":7412},[731,732,733,734],[574,7414,2220],{"className":7415,"style":1841},[667,668,734],[574,7417,1051],{"className":7418},[1050],[574,7420,7422],{"className":7421},[714],[574,7423,7425],{"className":7424,"style":1058},[718],[574,7426],{}," ohne Unabhängigkeit verwenden.",[2059,7429,7430,7431,7515,7516,7566,7567,2051],{},"Den Definitionsbereich übersehen. Bei der Exponentialverteilung existiert ",[574,7432,7434,7457],{"className":7433},[577],[574,7435,7437],{"className":7436},[581],[583,7438,7439],{"xmlns":585},[587,7440,7441,7455],{},[590,7442,7443,7449,7451,7453],{},[885,7444,7445,7447],{},[593,7446,889],{},[593,7448,603],{},[597,7450,600],{"stretchy":599},[593,7452,817],{},[597,7454,606],{"stretchy":599},[647,7456,2798],{"encoding":649},[574,7458,7460],{"className":7459,"ariaHidden":609},[654],[574,7461,7463,7466,7506,7509,7512],{"className":7462},[658],[574,7464],{"className":7465,"style":1013},[662],[574,7467,7469,7472],{"className":7468},[667],[574,7470,889],{"className":7471,"style":1020},[667,668],[574,7473,7475],{"className":7474},[706],[574,7476,7478,7498],{"className":7477},[710,1027],[574,7479,7481,7495],{"className":7480},[714],[574,7482,7484],{"className":7483,"style":1034},[718],[574,7485,7486,7489],{"style":1037},[574,7487],{"className":7488,"style":727},[726],[574,7490,7492],{"className":7491},[731,732,733,734],[574,7493,603],{"className":7494,"style":677},[667,668,734],[574,7496,1051],{"className":7497},[1050],[574,7499,7501],{"className":7500},[714],[574,7502,7504],{"className":7503,"style":1058},[718],[574,7505],{},[574,7507,600],{"className":7508},[673],[574,7510,817],{"className":7511},[667,668],[574,7513,606],{"className":7514},[681]," nur für ",[574,7517,7519,7536],{"className":7518},[577],[574,7520,7522],{"className":7521},[581],[583,7523,7524],{"xmlns":585},[587,7525,7526,7534],{},[590,7527,7528,7530,7532],{},[593,7529,817],{},[597,7531,3564],{},[593,7533,3255],{},[647,7535,3569],{"encoding":649},[574,7537,7539,7557],{"className":7538,"ariaHidden":609},[654],[574,7540,7542,7545,7548,7551,7554],{"className":7541},[658],[574,7543],{"className":7544,"style":3579},[662],[574,7546,817],{"className":7547},[667,668],[574,7549],{"className":7550,"style":1073},[689],[574,7552,3564],{"className":7553},[1077],[574,7555],{"className":7556,"style":1073},[689],[574,7558,7560,7563],{"className":7559},[658],[574,7561],{"className":7562,"style":1575},[662],[574,7564,3255],{"className":7565},[667,668],", bei manchen Verteilungen (z.B. t-Verteilung) gar nicht in einer Umgebung von ",[574,7568,7570,7583],{"className":7569},[577],[574,7571,7573],{"className":7572},[581],[583,7574,7575],{"xmlns":585},[587,7576,7577,7581],{},[590,7578,7579],{},[621,7580,922],{},[647,7582,922],{"encoding":649},[574,7584,7586],{"className":7585,"ariaHidden":609},[654],[574,7587,7589,7592],{"className":7588},[658],[574,7590],{"className":7591,"style":1608},[662],[574,7593,922],{"className":7594},[667],{"title":7596,"searchDepth":7597,"depth":7597,"links":7598},"",2,[7599,7600,7601],{"id":562,"depth":7597,"text":563},{"id":3856,"depth":7597,"text":3857},{"id":6569,"depth":7597,"text":6570},[7603,7605,7607,7609,7612,7614,7617,7620,7623],{"lhs":7604,"rhs":638},"round((exp(3*(exp(1e-5) - 1)) - exp(3*(exp(-1e-5) - 1))) \u002F (2e-5), 6)",{"lhs":7606,"rhs":4546},"round((exp(3*(exp(1e-4) - 1)) - 2 + exp(3*(exp(-1e-4) - 1))) \u002F 1e-8, 4)",{"lhs":7608,"rhs":638},"12 - 3^2",{"lhs":7610,"rhs":7611},"round((2\u002F(2 - 1e-5) - 2\u002F(2 + 1e-5)) \u002F (2e-5), 8)","0.5",{"lhs":7613,"rhs":7611},"round((2\u002F(2 - 1e-4) - 2 + 2\u002F(2 + 1e-4)) \u002F 1e-8, 4)",{"lhs":7615,"rhs":7616},"exp(a*(exp(t) - 1)) * exp(b*(exp(t) - 1))","exp((a + b)*(exp(t) - 1))",{"lhs":7618,"rhs":7619},"exp(u*t + s^2*t^2\u002F2) * exp(w*t + r^2*t^2\u002F2)","exp((u + w)*t + (s^2 + r^2)*t^2\u002F2)",{"lhs":7621,"rhs":7622},"exp(b*t) * exp(3*(exp(a*t) - 1))","exp(b*t + 3*(exp(a*t) - 1))",{"lhs":7624,"rhs":7625},"p*exp(t) + (1 - p)","1 - p + p*exp(t)","M_X(t) \u003C \\infty \\text{ für alle } t \\text{ in einem offenen Intervall um } 0,\\ k \\in \\mathbb{N}","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>M\u003C\u002Fmi>\u003Cmi>X\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>t\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo><\u003C\u002Fmo>\u003Cmi mathvariant=\"normal\">∞\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">M_X(t) < \\infty\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.109em;\">M\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3283em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.109em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.0785em;\">X\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">t\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\"><\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">∞\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">für alle\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>t\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">t\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6151em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">t\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">in einem offenen Intervall um\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmn>0\u003C\u002Fmn>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">0,\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8389em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>k\u003C\u002Fmi>\u003Cmo>∈\u003C\u002Fmo>\u003Cmi mathvariant=\"double-struck\">N\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">k \\in \\mathbb{N}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.7335em;vertical-align:-0.0391em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">∈\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6889em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathbb\">N\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","moment-generating-function","M_X(t) = E\\left(e^{tX}\\right), \\qquad E\\left(X^k\\right) = M_X^{(k)}(0)","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>M\u003C\u002Fmi>\u003Cmi>X\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>t\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmi>E\u003C\u002Fmi>\u003Cmrow>\u003Cmo fence=\"true\">(\u003C\u002Fmo>\u003Cmsup>\u003Cmi>e\u003C\u002Fmi>\u003Cmrow>\u003Cmi>t\u003C\u002Fmi>\u003Cmi>X\u003C\u002Fmi>\u003C\u002Fmrow>\u003C\u002Fmsup>\u003Cmo fence=\"true\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmspace width=\"2em\"\u002F>\u003Cmi>E\u003C\u002Fmi>\u003Cmrow>\u003Cmo fence=\"true\">(\u003C\u002Fmo>\u003Cmsup>\u003Cmi>X\u003C\u002Fmi>\u003Cmi>k\u003C\u002Fmi>\u003C\u002Fmsup>\u003Cmo fence=\"true\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cmo>=\u003C\u002Fmo>\u003Cmsubsup>\u003Cmi>M\u003C\u002Fmi>\u003Cmi>X\u003C\u002Fmi>\u003Cmrow>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>k\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003C\u002Fmsubsup>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">M_X(t) = E\\left(e^{tX}\\right), \\qquad E\\left(X^k\\right) = M_X^{(k)}(0)\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.109em;\">M\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3283em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.109em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" 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style=\"height:1.2491em;vertical-align:-0.35em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0576em;\">E\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"minner\">\u003Cspan class=\"mopen delimcenter\" style=\"top:0em;\">\u003Cspan class=\"delimsizing size1\">(\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">e\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8913em;\">\u003Cspan style=\"top:-3.113em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\" 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mathnormal\" style=\"margin-right:0.0785em;\">X\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8991em;\">\u003Cspan style=\"top:-3.113em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose delimcenter\" style=\"top:0em;\">\u003Cspan class=\"delimsizing size1\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan 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class=\"mord mathnormal mtight\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003Cspan class=\"mclose mtight\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.2935em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","university",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Fstochastics\u002Fmomenterzeugende-funktion",[],[7639,7640,7641,7642],"expected-value","variance-shift-formula","poisson-mean-variance","exponential-series",{"title":548,"description":7596},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fmomenterzeugende-funktion","Die 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style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.109em;\">M\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3283em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.109em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.0785em;\">X\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord 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style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":7667,"meaning":7668,"symbolHtml":7669},"M_X^{(k)}(0)","k-te Ableitung der momenterzeugenden Funktion an der Stelle 0","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsubsup>\u003Cmi>M\u003C\u002Fmi>\u003Cmi>X\u003C\u002Fmi>\u003Cmrow>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>k\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003C\u002Fmsubsup>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">M_X^{(k)}(0)\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.3383em;vertical-align:-0.2935em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.109em;\">M\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.0448em;\">\u003Cspan style=\"top:-2.4065em;margin-left:-0.109em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.0785em;\">X\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.2198em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" 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style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","quBS8v2uuTrlwwUUetmWA_xnzw-IdtuOph2tPruMhy8",[7675,7678,7681,7684],{"stem":7676,"title":7677,"category":412},"de\u002Fformulas\u002Fmath\u002Fsequences-series\u002Fexponentialreihe","Exponentialreihe",{"stem":7679,"title":7680,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Ferwartungswert","Erwartungswert",{"stem":7682,"title":7683,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Ferwartungswert-und-varianz-poisson-verteilung","Erwartungswert und Varianz der Poisson-Verteilung",{"stem":7685,"title":7686,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fverschiebungssatz","Verschiebungssatz",1793824286703]