[{"data":1,"prerenderedAt":3278},["ShallowReactive",2],{"subject-categories-math":3,"formula-de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fstetige-gleichverteilung":546,"formula-related-de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fstetige-gleichverteilung":3265},[4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,177,178,179,180,181,182,183,184,185,186,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545],{"category":5},"algebra",{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":65},"arithmetic",{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":101},"calculus",{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":172},"differential-equations",{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":187},"discrete-math",{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":208},"functions",{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":247},"geometry",{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":312},"linear-algebra",{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":368},"multivariable-calculus",{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":391},"numerics",{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":412},"sequences-series",{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":441},"stochastics",{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":518},"trigonometry",{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"id":547,"title":548,"aliases":549,"body":555,"category":441,"checks":3201,"conditions":3226,"conditionsHtml":3227,"deprecated":3228,"description":3195,"extension":3229,"figure":3228,"figureCaption":3228,"figureHtml":3228,"formulaId":3230,"latex":3231,"latexHtml":3232,"level":3233,"meta":3234,"navigation":3235,"path":3236,"redirectFrom":3237,"related":3238,"seo":3243,"stem":3244,"subject":577,"summary":3245,"tags":3246,"variables":3252,"__hash__":3264},"formulas_de\u002Fde\u002Fformulas\u002Fmath\u002Fstochastics\u002Fstetige-gleichverteilung.md","Stetige Gleichverteilung",[550,551,552,553,554],"Rechteckverteilung","Gleichverteilung stetig","Wartezeit gleichverteilt","Dichte Gleichverteilung","Erwartungswert stetige Gleichverteilung",{"type":556,"value":557,"toc":3194},"minimark",[558,563,689,966,1195,1202,1546,1550,1915,1948,2172,2406,2805,2809],[559,560,562],"h2",{"id":561},"erklärung","Erklärung",[564,565,566,567,614,615,619,620,685,686,688],"p",{},"Eine stetige Zufallsgröße ",[568,569,572,594],"span",{"className":570},[571],"katex",[568,573,576],{"className":574},[575],"katex-mathml",[577,578,580],"math",{"xmlns":579},"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML",[581,582,583,590],"semantics",{},[584,585,586],"mrow",{},[587,588,589],"mi",{},"X",[591,592,589],"annotation",{"encoding":593},"application\u002Fx-tex",[568,595,599],{"className":596,"ariaHidden":598},[597],"katex-html","true",[568,600,603,608],{"className":601},[602],"base",[568,604],{"className":605,"style":607},[606],"strut","height:0.6833em;",[568,609,589],{"className":610,"style":613},[611,612],"mord","mathnormal","margin-right:0.0785em;"," ist ",[616,617,618],"strong",{},"gleichverteilt"," auf ",[568,621,623,652],{"className":622},[571],[568,624,626],{"className":625},[575],[577,627,628],{"xmlns":579},[581,629,630,649],{},[584,631,632,637,640,643,646],{},[633,634,636],"mo",{"stretchy":635},"false","[",[587,638,639],{},"a",[633,641,642],{"separator":598},";",[587,644,645],{},"b",[633,647,648],{"stretchy":635},"]",[591,650,651],{"encoding":593},"[a; b]",[568,653,655],{"className":654,"ariaHidden":598},[597],[568,656,658,662,666,669,673,678,681],{"className":657},[602],[568,659],{"className":660,"style":661},[606],"height:1em;vertical-align:-0.25em;",[568,663,636],{"className":664},[665],"mopen",[568,667,639],{"className":668},[611,612],[568,670,642],{"className":671},[672],"mpunct",[568,674],{"className":675,"style":677},[676],"mspace","margin-right:0.1667em;",[568,679,645],{"className":680},[611,612],[568,682,648],{"className":683},[684],"mclose",", wenn sie nur Werte aus diesem Intervall annimmt und kein Bereich bevorzugt wird. Die Dichte ist dort konstant; ihr Graph ist ein Rechteck. Man spricht deshalb auch von der ",[616,687,550],{},".",[564,690,691,692,828,829,858,859,913,914,965],{},"Die Höhe ",[568,693,695,723],{"className":694},[571],[568,696,698],{"className":697},[575],[577,699,700],{"xmlns":579},[581,701,702,720],{},[584,703,704],{},[705,706,707,711],"mfrac",{},[708,709,710],"mn",{},"1",[584,712,713,715,718],{},[587,714,645],{},[633,716,717],{},"−",[587,719,639],{},[591,721,722],{"encoding":593},"\\frac{1}{b-a}",[568,724,726],{"className":725,"ariaHidden":598},[597],[568,727,729,733],{"className":728},[602],[568,730],{"className":731,"style":732},[606],"height:1.2484em;vertical-align:-0.4033em;",[568,734,736,740,825],{"className":735},[611],[568,737],{"className":738},[665,739],"nulldelimiter",[568,741,743],{"className":742},[705],[568,744,748,816],{"className":745},[746,747],"vlist-t","vlist-t2",[568,749,752,811],{"className":750},[751],"vlist-r",[568,753,757,785,796],{"className":754,"style":756},[755],"vlist","height:0.8451em;",[568,758,760,765],{"style":759},"top:-2.655em;",[568,761],{"className":762,"style":764},[763],"pstrut","height:3em;",[568,766,772],{"className":767},[768,769,770,771],"sizing","reset-size6","size3","mtight",[568,773,775,778,782],{"className":774},[611,771],[568,776,645],{"className":777},[611,612,771],[568,779,717],{"className":780},[781,771],"mbin",[568,783,639],{"className":784},[611,612,771],[568,786,788,791],{"style":787},"top:-3.23em;",[568,789],{"className":790,"style":764},[763],[568,792],{"className":793,"style":795},[794],"frac-line","border-bottom-width:0.04em;",[568,797,799,802],{"style":798},"top:-3.394em;",[568,800],{"className":801,"style":764},[763],[568,803,805],{"className":804},[768,769,770,771],[568,806,808],{"className":807},[611,771],[568,809,710],{"className":810},[611,771],[568,812,815],{"className":813},[814],"vlist-s","​",[568,817,819],{"className":818},[751],[568,820,823],{"className":821,"style":822},[755],"height:0.4033em;",[568,824],{},[568,826],{"className":827},[684,739]," sorgt dafür, dass die Fläche unter der Dichte ",[568,830,832,845],{"className":831},[571],[568,833,835],{"className":834},[575],[577,836,837],{"xmlns":579},[581,838,839,843],{},[584,840,841],{},[708,842,710],{},[591,844,710],{"encoding":593},[568,846,848],{"className":847,"ariaHidden":598},[597],[568,849,851,855],{"className":850},[602],[568,852],{"className":853,"style":854},[606],"height:0.6444em;",[568,856,710],{"className":857},[611]," ist. Für ein Teilintervall ",[568,860,862,886],{"className":861},[571],[568,863,865],{"className":864},[575],[577,866,867],{"xmlns":579},[581,868,869,883],{},[584,870,871,873,876,878,881],{},[633,872,636],{"stretchy":635},[587,874,875],{},"c",[633,877,642],{"separator":598},[587,879,880],{},"d",[633,882,648],{"stretchy":635},[591,884,885],{"encoding":593},"[c; d]",[568,887,889],{"className":888,"ariaHidden":598},[597],[568,890,892,895,898,901,904,907,910],{"className":891},[602],[568,893],{"className":894,"style":661},[606],[568,896,636],{"className":897},[665],[568,899,875],{"className":900},[611,612],[568,902,642],{"className":903},[672],[568,905],{"className":906,"style":677},[676],[568,908,880],{"className":909},[611,612],[568,911,648],{"className":912},[684]," von ",[568,915,917,938],{"className":916},[571],[568,918,920],{"className":919},[575],[577,921,922],{"xmlns":579},[581,923,924,936],{},[584,925,926,928,930,932,934],{},[633,927,636],{"stretchy":635},[587,929,639],{},[633,931,642],{"separator":598},[587,933,645],{},[633,935,648],{"stretchy":635},[591,937,651],{"encoding":593},[568,939,941],{"className":940,"ariaHidden":598},[597],[568,942,944,947,950,953,956,959,962],{"className":943},[602],[568,945],{"className":946,"style":661},[606],[568,948,636],{"className":949},[665],[568,951,639],{"className":952},[611,612],[568,954,642],{"className":955},[672],[568,957],{"className":958,"style":677},[676],[568,960,645],{"className":961},[611,612],[568,963,648],{"className":964},[684]," gilt",[568,967,970],{"className":968},[969],"katex-display",[568,971,973,1027],{"className":972},[571],[568,974,976],{"className":975},[575],[577,977,979],{"xmlns":579,"display":978},"block",[581,980,981,1024],{},[584,982,983,986,989,991,994,996,998,1000,1003,1006],{},[587,984,985],{},"P",[633,987,988],{"stretchy":635},"(",[587,990,875],{},[633,992,993],{},"≤",[587,995,589],{},[633,997,993],{},[587,999,880],{},[633,1001,1002],{"stretchy":635},")",[633,1004,1005],{},"=",[705,1007,1008,1016],{},[584,1009,1010,1012,1014],{},[587,1011,880],{},[633,1013,717],{},[587,1015,875],{},[584,1017,1018,1020,1022],{},[587,1019,645],{},[633,1021,717],{},[587,1023,639],{},[591,1025,1026],{"encoding":593},"P(c \\leq X \\leq d) = \\frac{d - c}{b - a}",[568,1028,1030,1057,1076,1097],{"className":1029,"ariaHidden":598},[597],[568,1031,1033,1036,1040,1043,1046,1050,1054],{"className":1032},[602],[568,1034],{"className":1035,"style":661},[606],[568,1037,985],{"className":1038,"style":1039},[611,612],"margin-right:0.1389em;",[568,1041,988],{"className":1042},[665],[568,1044,875],{"className":1045},[611,612],[568,1047],{"className":1048,"style":1049},[676],"margin-right:0.2778em;",[568,1051,993],{"className":1052},[1053],"mrel",[568,1055],{"className":1056,"style":1049},[676],[568,1058,1060,1064,1067,1070,1073],{"className":1059},[602],[568,1061],{"className":1062,"style":1063},[606],"height:0.8193em;vertical-align:-0.136em;",[568,1065,589],{"className":1066,"style":613},[611,612],[568,1068],{"className":1069,"style":1049},[676],[568,1071,993],{"className":1072},[1053],[568,1074],{"className":1075,"style":1049},[676],[568,1077,1079,1082,1085,1088,1091,1094],{"className":1078},[602],[568,1080],{"className":1081,"style":661},[606],[568,1083,880],{"className":1084},[611,612],[568,1086,1002],{"className":1087},[684],[568,1089],{"className":1090,"style":1049},[676],[568,1092,1005],{"className":1093},[1053],[568,1095],{"className":1096,"style":1049},[676],[568,1098,1100,1104],{"className":1099},[602],[568,1101],{"className":1102,"style":1103},[606],"height:2.1408em;vertical-align:-0.7693em;",[568,1105,1107,1110,1192],{"className":1106},[611],[568,1108],{"className":1109},[665,739],[568,1111,1113],{"className":1112},[705],[568,1114,1116,1183],{"className":1115},[746,747],[568,1117,1119,1180],{"className":1118},[751],[568,1120,1123,1148,1156],{"className":1121,"style":1122},[755],"height:1.3714em;",[568,1124,1126,1129],{"style":1125},"top:-2.314em;",[568,1127],{"className":1128,"style":764},[763],[568,1130,1132,1135,1139,1142,1145],{"className":1131},[611],[568,1133,645],{"className":1134},[611,612],[568,1136],{"className":1137,"style":1138},[676],"margin-right:0.2222em;",[568,1140,717],{"className":1141},[781],[568,1143],{"className":1144,"style":1138},[676],[568,1146,639],{"className":1147},[611,612],[568,1149,1150,1153],{"style":787},[568,1151],{"className":1152,"style":764},[763],[568,1154],{"className":1155,"style":795},[794],[568,1157,1159,1162],{"style":1158},"top:-3.677em;",[568,1160],{"className":1161,"style":764},[763],[568,1163,1165,1168,1171,1174,1177],{"className":1164},[611],[568,1166,880],{"className":1167},[611,612],[568,1169],{"className":1170,"style":1138},[676],[568,1172,717],{"className":1173},[781],[568,1175],{"className":1176,"style":1138},[676],[568,1178,875],{"className":1179},[611,612],[568,1181,815],{"className":1182},[814],[568,1184,1186],{"className":1185},[751],[568,1187,1190],{"className":1188,"style":1189},[755],"height:0.7693em;",[568,1191],{},[568,1193],{"className":1194},[684,739],[564,1196,1197,1198,1201],{},"Die Wahrscheinlichkeit hängt also nur von der ",[616,1199,1200],{},"Länge"," des Teilintervalls ab. Erwartungswert und Varianz:",[568,1203,1205],{"className":1204},[969],[568,1206,1208,1284],{"className":1207},[571],[568,1209,1211],{"className":1210},[575],[577,1212,1213],{"xmlns":579,"display":978},[581,1214,1215,1281],{},[584,1216,1217,1220,1222,1224,1226,1228,1242,1245,1248,1251,1253,1255,1257,1259],{},[587,1218,1219],{},"E",[633,1221,988],{"stretchy":635},[587,1223,589],{},[633,1225,1002],{"stretchy":635},[633,1227,1005],{},[705,1229,1230,1239],{},[584,1231,1232,1234,1237],{},[587,1233,639],{},[633,1235,1236],{},"+",[587,1238,645],{},[708,1240,1241],{},"2",[633,1243,1244],{"separator":598},",",[676,1246],{"width":1247},"2em",[587,1249,1250],{},"V",[633,1252,988],{"stretchy":635},[587,1254,589],{},[633,1256,1002],{"stretchy":635},[633,1258,1005],{},[705,1260,1261,1278],{},[584,1262,1263,1265,1267,1269,1271],{},[633,1264,988],{"stretchy":635},[587,1266,645],{},[633,1268,717],{},[587,1270,639],{},[1272,1273,1274,1276],"msup",{},[633,1275,1002],{"stretchy":635},[708,1277,1241],{},[708,1279,1280],{},"12",[591,1282,1283],{"encoding":593},"E(X) = \\frac{a + b}{2}, \\qquad V(X) = \\frac{(b - a)^2}{12}",[568,1285,1287,1315,1428],{"className":1286,"ariaHidden":598},[597],[568,1288,1290,1293,1297,1300,1303,1306,1309,1312],{"className":1289},[602],[568,1291],{"className":1292,"style":661},[606],[568,1294,1219],{"className":1295,"style":1296},[611,612],"margin-right:0.0576em;",[568,1298,988],{"className":1299},[665],[568,1301,589],{"className":1302,"style":613},[611,612],[568,1304,1002],{"className":1305},[684],[568,1307],{"className":1308,"style":1049},[676],[568,1310,1005],{"className":1311},[1053],[568,1313],{"className":1314,"style":1049},[676],[568,1316,1318,1322,1397,1400,1404,1407,1410,1413,1416,1419,1422,1425],{"className":1317},[602],[568,1319],{"className":1320,"style":1321},[606],"height:2.0574em;vertical-align:-0.686em;",[568,1323,1325,1328,1394],{"className":1324},[611],[568,1326],{"className":1327},[665,739],[568,1329,1331],{"className":1330},[705],[568,1332,1334,1385],{"className":1333},[746,747],[568,1335,1337,1382],{"className":1336},[751],[568,1338,1340,1351,1359],{"className":1339,"style":1122},[755],[568,1341,1342,1345],{"style":1125},[568,1343],{"className":1344,"style":764},[763],[568,1346,1348],{"className":1347},[611],[568,1349,1241],{"className":1350},[611],[568,1352,1353,1356],{"style":787},[568,1354],{"className":1355,"style":764},[763],[568,1357],{"className":1358,"style":795},[794],[568,1360,1361,1364],{"style":1158},[568,1362],{"className":1363,"style":764},[763],[568,1365,1367,1370,1373,1376,1379],{"className":1366},[611],[568,1368,639],{"className":1369},[611,612],[568,1371],{"className":1372,"style":1138},[676],[568,1374,1236],{"className":1375},[781],[568,1377],{"className":1378,"style":1138},[676],[568,1380,645],{"className":1381},[611,612],[568,1383,815],{"className":1384},[814],[568,1386,1388],{"className":1387},[751],[568,1389,1392],{"className":1390,"style":1391},[755],"height:0.686em;",[568,1393],{},[568,1395],{"className":1396},[684,739],[568,1398,1244],{"className":1399},[672],[568,1401],{"className":1402,"style":1403},[676],"margin-right:2em;",[568,1405],{"className":1406,"style":677},[676],[568,1408,1250],{"className":1409,"style":1138},[611,612],[568,1411,988],{"className":1412},[665],[568,1414,589],{"className":1415,"style":613},[611,612],[568,1417,1002],{"className":1418},[684],[568,1420],{"className":1421,"style":1049},[676],[568,1423,1005],{"className":1424},[1053],[568,1426],{"className":1427,"style":1049},[676],[568,1429,1431,1435],{"className":1430},[602],[568,1432],{"className":1433,"style":1434},[606],"height:2.1771em;vertical-align:-0.686em;",[568,1436,1438,1441,1543],{"className":1437},[611],[568,1439],{"className":1440},[665,739],[568,1442,1444],{"className":1443},[705],[568,1445,1447,1535],{"className":1446},[746,747],[568,1448,1450,1532],{"className":1449},[751],[568,1451,1454,1465,1473],{"className":1452,"style":1453},[755],"height:1.4911em;",[568,1455,1456,1459],{"style":1125},[568,1457],{"className":1458,"style":764},[763],[568,1460,1462],{"className":1461},[611],[568,1463,1280],{"className":1464},[611],[568,1466,1467,1470],{"style":787},[568,1468],{"className":1469,"style":764},[763],[568,1471],{"className":1472,"style":795},[794],[568,1474,1475,1478],{"style":1158},[568,1476],{"className":1477,"style":764},[763],[568,1479,1481,1484,1487,1490,1493,1496,1499],{"className":1480},[611],[568,1482,988],{"className":1483},[665],[568,1485,645],{"className":1486},[611,612],[568,1488],{"className":1489,"style":1138},[676],[568,1491,717],{"className":1492},[781],[568,1494],{"className":1495,"style":1138},[676],[568,1497,639],{"className":1498},[611,612],[568,1500,1502,1505],{"className":1501},[684],[568,1503,1002],{"className":1504},[684],[568,1506,1509],{"className":1507},[1508],"msupsub",[568,1510,1512],{"className":1511},[746],[568,1513,1515],{"className":1514},[751],[568,1516,1519],{"className":1517,"style":1518},[755],"height:0.8141em;",[568,1520,1522,1526],{"style":1521},"top:-3.063em;margin-right:0.05em;",[568,1523],{"className":1524,"style":1525},[763],"height:2.7em;",[568,1527,1529],{"className":1528},[768,769,770,771],[568,1530,1241],{"className":1531},[611,771],[568,1533,815],{"className":1534},[814],[568,1536,1538],{"className":1537},[751],[568,1539,1541],{"className":1540,"style":1391},[755],[568,1542],{},[568,1544],{"className":1545},[684,739],[559,1547,1549],{"id":1548},"beispiele","Beispiele",[564,1551,1552,1553,1582,1583,1611,1612,1665,1666,1839,1840,688],{},"Ein Bus fährt alle ",[568,1554,1556,1570],{"className":1555},[571],[568,1557,1559],{"className":1558},[575],[577,1560,1561],{"xmlns":579},[581,1562,1563,1568],{},[584,1564,1565],{},[708,1566,1567],{},"10",[591,1569,1567],{"encoding":593},[568,1571,1573],{"className":1572,"ariaHidden":598},[597],[568,1574,1576,1579],{"className":1575},[602],[568,1577],{"className":1578,"style":854},[606],[568,1580,1567],{"className":1581},[611]," Minuten. Wer zu einem zufälligen Zeitpunkt an die Haltestelle kommt, wartet eine Zeit ",[568,1584,1586,1599],{"className":1585},[571],[568,1587,1589],{"className":1588},[575],[577,1590,1591],{"xmlns":579},[581,1592,1593,1597],{},[584,1594,1595],{},[587,1596,589],{},[591,1598,589],{"encoding":593},[568,1600,1602],{"className":1601,"ariaHidden":598},[597],[568,1603,1605,1608],{"className":1604},[602],[568,1606],{"className":1607,"style":607},[606],[568,1609,589],{"className":1610,"style":613},[611,612],", die auf ",[568,1613,1615,1638],{"className":1614},[571],[568,1616,1618],{"className":1617},[575],[577,1619,1620],{"xmlns":579},[581,1621,1622,1635],{},[584,1623,1624,1626,1629,1631,1633],{},[633,1625,636],{"stretchy":635},[708,1627,1628],{},"0",[633,1630,642],{"separator":598},[708,1632,1567],{},[633,1634,648],{"stretchy":635},[591,1636,1637],{"encoding":593},"[0; 10]",[568,1639,1641],{"className":1640,"ariaHidden":598},[597],[568,1642,1644,1647,1650,1653,1656,1659,1662],{"className":1643},[602],[568,1645],{"className":1646,"style":661},[606],[568,1648,636],{"className":1649},[665],[568,1651,1628],{"className":1652},[611],[568,1654,642],{"className":1655},[672],[568,1657],{"className":1658,"style":677},[676],[568,1660,1567],{"className":1661},[611],[568,1663,648],{"className":1664},[684]," gleichverteilt ist. Die Dichte ist ",[568,1667,1669,1704],{"className":1668},[571],[568,1670,1672],{"className":1671},[575],[577,1673,1674],{"xmlns":579},[581,1675,1676,1701],{},[584,1677,1678,1681,1683,1686,1688,1690,1696,1698],{},[587,1679,1680],{},"f",[633,1682,988],{"stretchy":635},[587,1684,1685],{},"x",[633,1687,1002],{"stretchy":635},[633,1689,1005],{},[705,1691,1692,1694],{},[708,1693,710],{},[708,1695,1567],{},[633,1697,1005],{},[708,1699,1700],{},"0,1",[591,1702,1703],{"encoding":593},"f(x) = \\frac{1}{10} = 0{,}1",[568,1705,1707,1735,1820],{"className":1706,"ariaHidden":598},[597],[568,1708,1710,1713,1717,1720,1723,1726,1729,1732],{"className":1709},[602],[568,1711],{"className":1712,"style":661},[606],[568,1714,1680],{"className":1715,"style":1716},[611,612],"margin-right:0.1076em;",[568,1718,988],{"className":1719},[665],[568,1721,1685],{"className":1722},[611,612],[568,1724,1002],{"className":1725},[684],[568,1727],{"className":1728,"style":1049},[676],[568,1730,1005],{"className":1731},[1053],[568,1733],{"className":1734,"style":1049},[676],[568,1736,1738,1742,1811,1814,1817],{"className":1737},[602],[568,1739],{"className":1740,"style":1741},[606],"height:1.1901em;vertical-align:-0.345em;",[568,1743,1745,1748,1808],{"className":1744},[611],[568,1746],{"className":1747},[665,739],[568,1749,1751],{"className":1750},[705],[568,1752,1754,1799],{"className":1753},[746,747],[568,1755,1757,1796],{"className":1756},[751],[568,1758,1760,1774,1782],{"className":1759,"style":756},[755],[568,1761,1762,1765],{"style":759},[568,1763],{"className":1764,"style":764},[763],[568,1766,1768],{"className":1767},[768,769,770,771],[568,1769,1771],{"className":1770},[611,771],[568,1772,1567],{"className":1773},[611,771],[568,1775,1776,1779],{"style":787},[568,1777],{"className":1778,"style":764},[763],[568,1780],{"className":1781,"style":795},[794],[568,1783,1784,1787],{"style":798},[568,1785],{"className":1786,"style":764},[763],[568,1788,1790],{"className":1789},[768,769,770,771],[568,1791,1793],{"className":1792},[611,771],[568,1794,710],{"className":1795},[611,771],[568,1797,815],{"className":1798},[814],[568,1800,1802],{"className":1801},[751],[568,1803,1806],{"className":1804,"style":1805},[755],"height:0.345em;",[568,1807],{},[568,1809],{"className":1810},[684,739],[568,1812],{"className":1813,"style":1049},[676],[568,1815,1005],{"className":1816},[1053],[568,1818],{"className":1819,"style":1049},[676],[568,1821,1823,1827,1830,1836],{"className":1822},[602],[568,1824],{"className":1825,"style":1826},[606],"height:0.8389em;vertical-align:-0.1944em;",[568,1828,1628],{"className":1829},[611],[568,1831,1833],{"className":1832},[611],[568,1834,1244],{"className":1835},[672],[568,1837,710],{"className":1838},[611]," für ",[568,1841,1843,1865],{"className":1842},[571],[568,1844,1846],{"className":1845},[575],[577,1847,1848],{"xmlns":579},[581,1849,1850,1862],{},[584,1851,1852,1854,1856,1858,1860],{},[708,1853,1628],{},[633,1855,993],{},[587,1857,1685],{},[633,1859,993],{},[708,1861,1567],{},[591,1863,1864],{"encoding":593},"0 \\leq x \\leq 10",[568,1866,1868,1887,1906],{"className":1867,"ariaHidden":598},[597],[568,1869,1871,1875,1878,1881,1884],{"className":1870},[602],[568,1872],{"className":1873,"style":1874},[606],"height:0.7804em;vertical-align:-0.136em;",[568,1876,1628],{"className":1877},[611],[568,1879],{"className":1880,"style":1049},[676],[568,1882,993],{"className":1883},[1053],[568,1885],{"className":1886,"style":1049},[676],[568,1888,1890,1894,1897,1900,1903],{"className":1889},[602],[568,1891],{"className":1892,"style":1893},[606],"height:0.7719em;vertical-align:-0.136em;",[568,1895,1685],{"className":1896},[611,612],[568,1898],{"className":1899,"style":1049},[676],[568,1901,993],{"className":1902},[1053],[568,1904],{"className":1905,"style":1049},[676],[568,1907,1909,1912],{"className":1908},[602],[568,1910],{"className":1911,"style":854},[606],[568,1913,1567],{"className":1914},[611],[564,1916,1917,1918,1947],{},"Wartezeit höchstens ",[568,1919,1921,1935],{"className":1920},[571],[568,1922,1924],{"className":1923},[575],[577,1925,1926],{"xmlns":579},[581,1927,1928,1933],{},[584,1929,1930],{},[708,1931,1932],{},"3",[591,1934,1932],{"encoding":593},[568,1936,1938],{"className":1937,"ariaHidden":598},[597],[568,1939,1941,1944],{"className":1940},[602],[568,1942],{"className":1943,"style":854},[606],[568,1945,1932],{"className":1946},[611]," Minuten:",[568,1949,1951],{"className":1950},[969],[568,1952,1954,2003],{"className":1953},[571],[568,1955,1957],{"className":1956},[575],[577,1958,1959],{"xmlns":579,"display":978},[581,1960,1961,2000],{},[584,1962,1963,1965,1967,1969,1971,1973,1975,1977,1995,1997],{},[587,1964,985],{},[633,1966,988],{"stretchy":635},[587,1968,589],{},[633,1970,993],{},[708,1972,1932],{},[633,1974,1002],{"stretchy":635},[633,1976,1005],{},[705,1978,1979,1987],{},[584,1980,1981,1983,1985],{},[708,1982,1932],{},[633,1984,717],{},[708,1986,1628],{},[584,1988,1989,1991,1993],{},[708,1990,1567],{},[633,1992,717],{},[708,1994,1628],{},[633,1996,1005],{},[708,1998,1999],{},"0,3",[591,2001,2002],{"encoding":593},"P(X \\leq 3) = \\frac{3 - 0}{10 - 0} = 0{,}3",[568,2004,2006,2030,2051,2154],{"className":2005,"ariaHidden":598},[597],[568,2007,2009,2012,2015,2018,2021,2024,2027],{"className":2008},[602],[568,2010],{"className":2011,"style":661},[606],[568,2013,985],{"className":2014,"style":1039},[611,612],[568,2016,988],{"className":2017},[665],[568,2019,589],{"className":2020,"style":613},[611,612],[568,2022],{"className":2023,"style":1049},[676],[568,2025,993],{"className":2026},[1053],[568,2028],{"className":2029,"style":1049},[676],[568,2031,2033,2036,2039,2042,2045,2048],{"className":2032},[602],[568,2034],{"className":2035,"style":661},[606],[568,2037,1932],{"className":2038},[611],[568,2040,1002],{"className":2041},[684],[568,2043],{"className":2044,"style":1049},[676],[568,2046,1005],{"className":2047},[1053],[568,2049],{"className":2050,"style":1049},[676],[568,2052,2054,2058,2145,2148,2151],{"className":2053},[602],[568,2055],{"className":2056,"style":2057},[606],"height:2.0908em;vertical-align:-0.7693em;",[568,2059,2061,2064,2142],{"className":2060},[611],[568,2062],{"className":2063},[665,739],[568,2065,2067],{"className":2066},[705],[568,2068,2070,2134],{"className":2069},[746,747],[568,2071,2073,2131],{"className":2072},[751],[568,2074,2077,2100,2108],{"className":2075,"style":2076},[755],"height:1.3214em;",[568,2078,2079,2082],{"style":1125},[568,2080],{"className":2081,"style":764},[763],[568,2083,2085,2088,2091,2094,2097],{"className":2084},[611],[568,2086,1567],{"className":2087},[611],[568,2089],{"className":2090,"style":1138},[676],[568,2092,717],{"className":2093},[781],[568,2095],{"className":2096,"style":1138},[676],[568,2098,1628],{"className":2099},[611],[568,2101,2102,2105],{"style":787},[568,2103],{"className":2104,"style":764},[763],[568,2106],{"className":2107,"style":795},[794],[568,2109,2110,2113],{"style":1158},[568,2111],{"className":2112,"style":764},[763],[568,2114,2116,2119,2122,2125,2128],{"className":2115},[611],[568,2117,1932],{"className":2118},[611],[568,2120],{"className":2121,"style":1138},[676],[568,2123,717],{"className":2124},[781],[568,2126],{"className":2127,"style":1138},[676],[568,2129,1628],{"className":2130},[611],[568,2132,815],{"className":2133},[814],[568,2135,2137],{"className":2136},[751],[568,2138,2140],{"className":2139,"style":1189},[755],[568,2141],{},[568,2143],{"className":2144},[684,739],[568,2146],{"className":2147,"style":1049},[676],[568,2149,1005],{"className":2150},[1053],[568,2152],{"className":2153,"style":1049},[676],[568,2155,2157,2160,2163,2169],{"className":2156},[602],[568,2158],{"className":2159,"style":1826},[606],[568,2161,1628],{"className":2162},[611],[568,2164,2166],{"className":2165},[611],[568,2167,1244],{"className":2168},[672],[568,2170,1932],{"className":2171},[611],[564,2173,2174,2175,2204,2205,688],{},"Wartezeit mehr als ",[568,2176,2178,2192],{"className":2177},[571],[568,2179,2181],{"className":2180},[575],[577,2182,2183],{"xmlns":579},[581,2184,2185,2190],{},[584,2186,2187],{},[708,2188,2189],{},"7",[591,2191,2189],{"encoding":593},[568,2193,2195],{"className":2194,"ariaHidden":598},[597],[568,2196,2198,2201],{"className":2197},[602],[568,2199],{"className":2200,"style":854},[606],[568,2202,2189],{"className":2203},[611]," Minuten: ",[568,2206,2208,2251],{"className":2207},[571],[568,2209,2211],{"className":2210},[575],[577,2212,2213],{"xmlns":579},[581,2214,2215,2248],{},[584,2216,2217,2219,2221,2223,2226,2228,2230,2232,2244,2246],{},[587,2218,985],{},[633,2220,988],{"stretchy":635},[587,2222,589],{},[633,2224,2225],{},">",[708,2227,2189],{},[633,2229,1002],{"stretchy":635},[633,2231,1005],{},[705,2233,2234,2242],{},[584,2235,2236,2238,2240],{},[708,2237,1567],{},[633,2239,717],{},[708,2241,2189],{},[708,2243,1567],{},[633,2245,1005],{},[708,2247,1999],{},[591,2249,2250],{"encoding":593},"P(X > 7) = \\frac{10 - 7}{10} = 0{,}3",[568,2252,2254,2278,2299,2388],{"className":2253,"ariaHidden":598},[597],[568,2255,2257,2260,2263,2266,2269,2272,2275],{"className":2256},[602],[568,2258],{"className":2259,"style":661},[606],[568,2261,985],{"className":2262,"style":1039},[611,612],[568,2264,988],{"className":2265},[665],[568,2267,589],{"className":2268,"style":613},[611,612],[568,2270],{"className":2271,"style":1049},[676],[568,2273,2225],{"className":2274},[1053],[568,2276],{"className":2277,"style":1049},[676],[568,2279,2281,2284,2287,2290,2293,2296],{"className":2280},[602],[568,2282],{"className":2283,"style":661},[606],[568,2285,2189],{"className":2286},[611],[568,2288,1002],{"className":2289},[684],[568,2291],{"className":2292,"style":1049},[676],[568,2294,1005],{"className":2295},[1053],[568,2297],{"className":2298,"style":1049},[676],[568,2300,2302,2305,2379,2382,2385],{"className":2301},[602],[568,2303],{"className":2304,"style":1741},[606],[568,2306,2308,2311,2376],{"className":2307},[611],[568,2309],{"className":2310},[665,739],[568,2312,2314],{"className":2313},[705],[568,2315,2317,2368],{"className":2316},[746,747],[568,2318,2320,2365],{"className":2319},[751],[568,2321,2323,2337,2345],{"className":2322,"style":756},[755],[568,2324,2325,2328],{"style":759},[568,2326],{"className":2327,"style":764},[763],[568,2329,2331],{"className":2330},[768,769,770,771],[568,2332,2334],{"className":2333},[611,771],[568,2335,1567],{"className":2336},[611,771],[568,2338,2339,2342],{"style":787},[568,2340],{"className":2341,"style":764},[763],[568,2343],{"className":2344,"style":795},[794],[568,2346,2347,2350],{"style":798},[568,2348],{"className":2349,"style":764},[763],[568,2351,2353],{"className":2352},[768,769,770,771],[568,2354,2356,2359,2362],{"className":2355},[611,771],[568,2357,1567],{"className":2358},[611,771],[568,2360,717],{"className":2361},[781,771],[568,2363,2189],{"className":2364},[611,771],[568,2366,815],{"className":2367},[814],[568,2369,2371],{"className":2370},[751],[568,2372,2374],{"className":2373,"style":1805},[755],[568,2375],{},[568,2377],{"className":2378},[684,739],[568,2380],{"className":2381,"style":1049},[676],[568,2383,1005],{"className":2384},[1053],[568,2386],{"className":2387,"style":1049},[676],[568,2389,2391,2394,2397,2403],{"className":2390},[602],[568,2392],{"className":2393,"style":1826},[606],[568,2395,1628],{"className":2396},[611],[568,2398,2400],{"className":2399},[611],[568,2401,1244],{"className":2402},[672],[568,2404,1932],{"className":2405},[611],[564,2407,2408,2409,2579,2580,2804],{},"Im Mittel wartet man ",[568,2410,2412,2451],{"className":2411},[571],[568,2413,2415],{"className":2414},[575],[577,2416,2417],{"xmlns":579},[581,2418,2419,2448],{},[584,2420,2421,2423,2425,2427,2429,2431,2443,2445],{},[587,2422,1219],{},[633,2424,988],{"stretchy":635},[587,2426,589],{},[633,2428,1002],{"stretchy":635},[633,2430,1005],{},[705,2432,2433,2441],{},[584,2434,2435,2437,2439],{},[708,2436,1628],{},[633,2438,1236],{},[708,2440,1567],{},[708,2442,1241],{},[633,2444,1005],{},[708,2446,2447],{},"5",[591,2449,2450],{"encoding":593},"E(X) = \\frac{0 + 10}{2} = 5",[568,2452,2454,2481,2570],{"className":2453,"ariaHidden":598},[597],[568,2455,2457,2460,2463,2466,2469,2472,2475,2478],{"className":2456},[602],[568,2458],{"className":2459,"style":661},[606],[568,2461,1219],{"className":2462,"style":1296},[611,612],[568,2464,988],{"className":2465},[665],[568,2467,589],{"className":2468,"style":613},[611,612],[568,2470,1002],{"className":2471},[684],[568,2473],{"className":2474,"style":1049},[676],[568,2476,1005],{"className":2477},[1053],[568,2479],{"className":2480,"style":1049},[676],[568,2482,2484,2487,2561,2564,2567],{"className":2483},[602],[568,2485],{"className":2486,"style":1741},[606],[568,2488,2490,2493,2558],{"className":2489},[611],[568,2491],{"className":2492},[665,739],[568,2494,2496],{"className":2495},[705],[568,2497,2499,2550],{"className":2498},[746,747],[568,2500,2502,2547],{"className":2501},[751],[568,2503,2505,2519,2527],{"className":2504,"style":756},[755],[568,2506,2507,2510],{"style":759},[568,2508],{"className":2509,"style":764},[763],[568,2511,2513],{"className":2512},[768,769,770,771],[568,2514,2516],{"className":2515},[611,771],[568,2517,1241],{"className":2518},[611,771],[568,2520,2521,2524],{"style":787},[568,2522],{"className":2523,"style":764},[763],[568,2525],{"className":2526,"style":795},[794],[568,2528,2529,2532],{"style":798},[568,2530],{"className":2531,"style":764},[763],[568,2533,2535],{"className":2534},[768,769,770,771],[568,2536,2538,2541,2544],{"className":2537},[611,771],[568,2539,1628],{"className":2540},[611,771],[568,2542,1236],{"className":2543},[781,771],[568,2545,1567],{"className":2546},[611,771],[568,2548,815],{"className":2549},[814],[568,2551,2553],{"className":2552},[751],[568,2554,2556],{"className":2555,"style":1805},[755],[568,2557],{},[568,2559],{"className":2560},[684,739],[568,2562],{"className":2563,"style":1049},[676],[568,2565,1005],{"className":2566},[1053],[568,2568],{"className":2569,"style":1049},[676],[568,2571,2573,2576],{"className":2572},[602],[568,2574],{"className":2575,"style":854},[606],[568,2577,2447],{"className":2578},[611]," Minuten, die Standardabweichung ist ",[568,2581,2583,2615],{"className":2582},[571],[568,2584,2586],{"className":2585},[575],[577,2587,2588],{"xmlns":579},[581,2589,2590,2612],{},[584,2591,2592,2595,2597,2606,2609],{},[587,2593,2594],{},"σ",[633,2596,1005],{},[705,2598,2599,2601],{},[708,2600,1567],{},[2602,2603,2604],"msqrt",{},[708,2605,1280],{},[633,2607,2608],{},"≈",[708,2610,2611],{},"2,89",[591,2613,2614],{"encoding":593},"\\sigma = \\frac{10}{\\sqrt{12}} \\approx 2{,}89",[568,2616,2618,2638,2785],{"className":2617,"ariaHidden":598},[597],[568,2619,2621,2625,2629,2632,2635],{"className":2620},[602],[568,2622],{"className":2623,"style":2624},[606],"height:0.4306em;",[568,2626,2594],{"className":2627,"style":2628},[611,612],"margin-right:0.0359em;",[568,2630],{"className":2631,"style":1049},[676],[568,2633,1005],{"className":2634},[1053],[568,2636],{"className":2637,"style":1049},[676],[568,2639,2641,2645,2776,2779,2782],{"className":2640},[602],[568,2642],{"className":2643,"style":2644},[606],"height:1.3831em;vertical-align:-0.538em;",[568,2646,2648,2651,2773],{"className":2647},[611],[568,2649],{"className":2650},[665,739],[568,2652,2654],{"className":2653},[705],[568,2655,2657,2764],{"className":2656},[746,747],[568,2658,2660,2761],{"className":2659},[751],[568,2661,2663,2739,2747],{"className":2662,"style":756},[755],[568,2664,2666,2669],{"style":2665},"top:-2.551em;",[568,2667],{"className":2668,"style":764},[763],[568,2670,2672],{"className":2671},[768,769,770,771],[568,2673,2675],{"className":2674},[611,771],[568,2676,2679],{"className":2677},[611,2678,771],"sqrt",[568,2680,2682,2730],{"className":2681},[746,747],[568,2683,2685,2727],{"className":2684},[751],[568,2686,2689,2704],{"className":2687,"style":2688},[755],"height:0.9128em;",[568,2690,2694,2697],{"className":2691,"style":2693},[2692],"svg-align","top:-3em;",[568,2695],{"className":2696,"style":764},[763],[568,2698,2701],{"className":2699,"style":2700},[611,771],"padding-left:0.833em;",[568,2702,1280],{"className":2703},[611,771],[568,2705,2707,2710],{"style":2706},"top:-2.8728em;",[568,2708],{"className":2709,"style":764},[763],[568,2711,2715],{"className":2712,"style":2714},[2713,771],"hide-tail","min-width:0.853em;height:1.08em;",[2716,2717,2723],"svg",{"xmlns":2718,"width":2719,"height":2720,"viewBox":2721,"preserveAspectRatio":2722},"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg","400em","1.08em","0 0 400000 1080","xMinYMin slice",[2724,2725],"path",{"d":2726},"M95,702\nc-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14\nc0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54\nc44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10\ns173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429\nc69,-144,104.5,-217.7,106.5,-221\nl0 -0\nc5.3,-9.3,12,-14,20,-14\nH400000v40H845.2724\ns-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7\nc-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z\nM834 80h400000v40h-400000z",[568,2728,815],{"className":2729},[814],[568,2731,2733],{"className":2732},[751],[568,2734,2737],{"className":2735,"style":2736},[755],"height:0.1272em;",[568,2738],{},[568,2740,2741,2744],{"style":787},[568,2742],{"className":2743,"style":764},[763],[568,2745],{"className":2746,"style":795},[794],[568,2748,2749,2752],{"style":798},[568,2750],{"className":2751,"style":764},[763],[568,2753,2755],{"className":2754},[768,769,770,771],[568,2756,2758],{"className":2757},[611,771],[568,2759,1567],{"className":2760},[611,771],[568,2762,815],{"className":2763},[814],[568,2765,2767],{"className":2766},[751],[568,2768,2771],{"className":2769,"style":2770},[755],"height:0.538em;",[568,2772],{},[568,2774],{"className":2775},[684,739],[568,2777],{"className":2778,"style":1049},[676],[568,2780,2608],{"className":2781},[1053],[568,2783],{"className":2784,"style":1049},[676],[568,2786,2788,2791,2794,2800],{"className":2787},[602],[568,2789],{"className":2790,"style":1826},[606],[568,2792,1241],{"className":2793},[611],[568,2795,2797],{"className":2796},[611],[568,2798,1244],{"className":2799},[672],[568,2801,2803],{"className":2802},[611],"89"," Minuten.",[559,2806,2808],{"id":2807},"typische-fehler","Typische Fehler",[2810,2811,2812,3018,3109],"ul",{},[2813,2814,2815,2816,2925,2926,2988,2989,3017],"li",{},"Die Dichte ",[568,2817,2819,2842],{"className":2818},[571],[568,2820,2822],{"className":2821},[575],[577,2823,2824],{"xmlns":579},[581,2825,2826,2840],{},[584,2827,2828],{},[705,2829,2830,2832],{},[708,2831,710],{},[584,2833,2834,2836,2838],{},[587,2835,645],{},[633,2837,717],{},[587,2839,639],{},[591,2841,722],{"encoding":593},[568,2843,2845],{"className":2844,"ariaHidden":598},[597],[568,2846,2848,2851],{"className":2847},[602],[568,2849],{"className":2850,"style":732},[606],[568,2852,2854,2857,2922],{"className":2853},[611],[568,2855],{"className":2856},[665,739],[568,2858,2860],{"className":2859},[705],[568,2861,2863,2914],{"className":2862},[746,747],[568,2864,2866,2911],{"className":2865},[751],[568,2867,2869,2889,2897],{"className":2868,"style":756},[755],[568,2870,2871,2874],{"style":759},[568,2872],{"className":2873,"style":764},[763],[568,2875,2877],{"className":2876},[768,769,770,771],[568,2878,2880,2883,2886],{"className":2879},[611,771],[568,2881,645],{"className":2882},[611,612,771],[568,2884,717],{"className":2885},[781,771],[568,2887,639],{"className":2888},[611,612,771],[568,2890,2891,2894],{"style":787},[568,2892],{"className":2893,"style":764},[763],[568,2895],{"className":2896,"style":795},[794],[568,2898,2899,2902],{"style":798},[568,2900],{"className":2901,"style":764},[763],[568,2903,2905],{"className":2904},[768,769,770,771],[568,2906,2908],{"className":2907},[611,771],[568,2909,710],{"className":2910},[611,771],[568,2912,815],{"className":2913},[814],[568,2915,2917],{"className":2916},[751],[568,2918,2920],{"className":2919,"style":822},[755],[568,2921],{},[568,2923],{"className":2924},[684,739]," als Wahrscheinlichkeit lesen. Bei ",[568,2927,2929,2952],{"className":2928},[571],[568,2930,2932],{"className":2931},[575],[577,2933,2934],{"xmlns":579},[581,2935,2936,2949],{},[584,2937,2938,2940,2942,2944,2947],{},[633,2939,636],{"stretchy":635},[708,2941,1628],{},[633,2943,642],{"separator":598},[708,2945,2946],{},"0,5",[633,2948,648],{"stretchy":635},[591,2950,2951],{"encoding":593},"[0; 0{,}5]",[568,2953,2955],{"className":2954,"ariaHidden":598},[597],[568,2956,2958,2961,2964,2967,2970,2973,2976,2982,2985],{"className":2957},[602],[568,2959],{"className":2960,"style":661},[606],[568,2962,636],{"className":2963},[665],[568,2965,1628],{"className":2966},[611],[568,2968,642],{"className":2969},[672],[568,2971],{"className":2972,"style":677},[676],[568,2974,1628],{"className":2975},[611],[568,2977,2979],{"className":2978},[611],[568,2980,1244],{"className":2981},[672],[568,2983,2447],{"className":2984},[611],[568,2986,648],{"className":2987},[684]," ist die Dichte ",[568,2990,2992,3005],{"className":2991},[571],[568,2993,2995],{"className":2994},[575],[577,2996,2997],{"xmlns":579},[581,2998,2999,3003],{},[584,3000,3001],{},[708,3002,1241],{},[591,3004,1241],{"encoding":593},[568,3006,3008],{"className":3007,"ariaHidden":598},[597],[568,3009,3011,3014],{"className":3010},[602],[568,3012],{"className":3013,"style":854},[606],[568,3015,1241],{"className":3016},[611],", eine Wahrscheinlichkeit kann das nicht sein.",[2813,3019,3020,3021,3049,3050,3079,3080,3108],{},"Bei der Varianz durch ",[568,3022,3024,3037],{"className":3023},[571],[568,3025,3027],{"className":3026},[575],[577,3028,3029],{"xmlns":579},[581,3030,3031,3035],{},[584,3032,3033],{},[708,3034,1241],{},[591,3036,1241],{"encoding":593},[568,3038,3040],{"className":3039,"ariaHidden":598},[597],[568,3041,3043,3046],{"className":3042},[602],[568,3044],{"className":3045,"style":854},[606],[568,3047,1241],{"className":3048},[611]," oder ",[568,3051,3053,3067],{"className":3052},[571],[568,3054,3056],{"className":3055},[575],[577,3057,3058],{"xmlns":579},[581,3059,3060,3065],{},[584,3061,3062],{},[708,3063,3064],{},"6",[591,3066,3064],{"encoding":593},[568,3068,3070],{"className":3069,"ariaHidden":598},[597],[568,3071,3073,3076],{"className":3072},[602],[568,3074],{"className":3075,"style":854},[606],[568,3077,3064],{"className":3078},[611]," statt durch ",[568,3081,3083,3096],{"className":3082},[571],[568,3084,3086],{"className":3085},[575],[577,3087,3088],{"xmlns":579},[581,3089,3090,3094],{},[584,3091,3092],{},[708,3093,1280],{},[591,3095,1280],{"encoding":593},[568,3097,3099],{"className":3098,"ariaHidden":598},[597],[568,3100,3102,3105],{"className":3101},[602],[568,3103],{"className":3104,"style":854},[606],[568,3106,1280],{"className":3107},[611]," teilen, oder das Quadrat vergessen.",[2813,3110,3111,3112,3165,3166,688],{},"Grenzen über das Intervall hinaus einsetzen. Für ",[568,3113,3115,3133],{"className":3114},[571],[568,3116,3118],{"className":3117},[575],[577,3119,3120],{"xmlns":579},[581,3121,3122,3130],{},[584,3123,3124,3126,3128],{},[587,3125,880],{},[633,3127,2225],{},[587,3129,645],{},[591,3131,3132],{"encoding":593},"d > b",[568,3134,3136,3155],{"className":3135,"ariaHidden":598},[597],[568,3137,3139,3143,3146,3149,3152],{"className":3138},[602],[568,3140],{"className":3141,"style":3142},[606],"height:0.7335em;vertical-align:-0.0391em;",[568,3144,880],{"className":3145},[611,612],[568,3147],{"className":3148,"style":1049},[676],[568,3150,2225],{"className":3151},[1053],[568,3153],{"className":3154,"style":1049},[676],[568,3156,3158,3162],{"className":3157},[602],[568,3159],{"className":3160,"style":3161},[606],"height:0.6944em;",[568,3163,645],{"className":3164},[611,612]," rechnet man nur bis ",[568,3167,3169,3182],{"className":3168},[571],[568,3170,3172],{"className":3171},[575],[577,3173,3174],{"xmlns":579},[581,3175,3176,3180],{},[584,3177,3178],{},[587,3179,645],{},[591,3181,645],{"encoding":593},[568,3183,3185],{"className":3184,"ariaHidden":598},[597],[568,3186,3188,3191],{"className":3187},[602],[568,3189],{"className":3190,"style":3161},[606],[568,3192,645],{"className":3193},[611,612],{"title":3195,"searchDepth":3196,"depth":3196,"links":3197},"",2,[3198,3199,3200],{"id":561,"depth":3196,"text":562},{"id":1548,"depth":3196,"text":1549},{"id":2807,"depth":3196,"text":2808},[3202,3204,3207,3210,3213,3216,3218,3220,3223],{"lhs":3203,"rhs":710},"(b - a) * 1\u002F(b - a)",{"lhs":3205,"rhs":3206},"(b^2 - a^2) \u002F (2*(b - a))","(a + b)\u002F2",{"lhs":3208,"rhs":3209},"(b^3 - a^3) \u002F (3*(b - a)) - ((a + b)\u002F2)^2","(b - a)^2\u002F12",{"lhs":3211,"rhs":3212},"1\u002F(10 - 0)","0.1",{"lhs":3214,"rhs":3215},"(3 - 0) \u002F (10 - 0)","0.3",{"lhs":3217,"rhs":3215},"(10 - 7) \u002F 10",{"lhs":3219,"rhs":2447},"(0 + 10)\u002F2",{"lhs":3221,"rhs":3222},"round(10\u002Fsqrt(12), 2)","2.89",{"lhs":3224,"rhs":3225},"round(sum(map(0:999, f(k) = (2 + (k + 0.5)*4\u002F1000) \u002F 4)) * 4\u002F1000, 4)","4","a \u003C b","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>a\u003C\u002Fmi>\u003Cmo>&lt;\u003C\u002Fmo>\u003Cmi>b\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">a &lt; b\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:0.5782em;vertical-align:-0.0391em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">a\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">&lt;\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">b\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","uniform-distribution-continuous","f(x) = \\begin{cases} \\frac{1}{b-a} & a \\leq x \\leq b \\\\ 0 & \\text{sonst} \\end{cases}","\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>\u003Cmi>f\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmrow>\u003Cmo fence=\"true\">{\u003C\u002Fmo>\u003Cmtable rowspacing=\"0.36em\" columnalign=\"left left\" columnspacing=\"1em\">\u003Cmtr>\u003Cmtd>\u003Cmstyle scriptlevel=\"0\" displaystyle=\"false\">\u003Cmfrac>\u003Cmn>1\u003C\u002Fmn>\u003Cmrow>\u003Cmi>b\u003C\u002Fmi>\u003Cmo>−\u003C\u002Fmo>\u003Cmi>a\u003C\u002Fmi>\u003C\u002Fmrow>\u003C\u002Fmfrac>\u003C\u002Fmstyle>\u003C\u002Fmtd>\u003Cmtd>\u003Cmstyle scriptlevel=\"0\" displaystyle=\"false\">\u003Cmrow>\u003Cmi>a\u003C\u002Fmi>\u003Cmo>≤\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003Cmo>≤\u003C\u002Fmo>\u003Cmi>b\u003C\u002Fmi>\u003C\u002Fmrow>\u003C\u002Fmstyle>\u003C\u002Fmtd>\u003C\u002Fmtr>\u003Cmtr>\u003Cmtd>\u003Cmstyle scriptlevel=\"0\" displaystyle=\"false\">\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmstyle>\u003C\u002Fmtd>\u003Cmtd>\u003Cmstyle scriptlevel=\"0\" displaystyle=\"false\">\u003Cmtext>sonst\u003C\u002Fmtext>\u003C\u002Fmstyle>\u003C\u002Fmtd>\u003C\u002Fmtr>\u003C\u002Fmtable>\u003C\u002Fmrow>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">f(x) = \\begin{cases} \\frac{1}{b-a} &amp; a \\leq x \\leq b \\\\ 0 &amp; \\text{sonst} \\end{cases}\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 mathnormal\" style=\"margin-right:0.1076em;\">f\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\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:3em;vertical-align:-1.25em;\">\u003C\u002Fspan>\u003Cspan class=\"minner\">\u003Cspan class=\"mopen delimcenter\" style=\"top:0em;\">\u003Cspan class=\"delimsizing size4\">{\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mtable\">\u003Cspan class=\"col-align-l\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.69em;\">\u003Cspan style=\"top:-3.69em;\">\u003Cspan class=\"pstrut\" style=\"height:3.008em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">\u003Cspan class=\"mopen nulldelimiter\">\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8451em;\">\u003Cspan style=\"top:-2.655em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">b\u003C\u002Fspan>\u003Cspan class=\"mbin mtight\">−\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal mtight\">a\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.23em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.394em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mtight\">1\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:0.4033em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-2.25em;\">\u003Cspan class=\"pstrut\" style=\"height:3.008em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">0\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:1.19em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"arraycolsep\" style=\"width:1em;\">\u003C\u002Fspan>\u003Cspan class=\"col-align-l\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.69em;\">\u003Cspan style=\"top:-3.69em;\">\u003Cspan class=\"pstrut\" style=\"height:3.008em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">a\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>\u003Cspan class=\"mord mathnormal\">x\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>\u003Cspan class=\"mord mathnormal\">b\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-2.25em;\">\u003Cspan class=\"pstrut\" style=\"height:3.008em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord text\">\u003Cspan class=\"mord\">sonst\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:1.19em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","upper",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Fstochastics\u002Fstetige-gleichverteilung",[],[3239,3240,3241,3242],"probability-density","cumulative-distribution","expected-value-continuous","uniform-distribution-discrete",{"title":548,"description":3195},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fstetige-gleichverteilung","Bei der stetigen Gleichverteilung ist die Dichte auf einem Intervall [a; b] konstant, Wahrscheinlichkeiten sind Rechteckflächen.",[3247,3248,3249,3250,3251],"gleichverteilung","rechteckverteilung","dichtefunktion","stetige verteilung","erwartungswert",[3253,3257,3261],{"symbol":3254,"meaning":3255,"symbolHtml":3256},"f(x)","Dichtefunktion der Zufallsgröße X","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>f\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">f(x)\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 mathnormal\" style=\"margin-right:0.1076em;\">f\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":3258,"meaning":3259,"symbolHtml":3260},"a,\\ b","linke und rechte Grenze des Intervalls, in dem X liegt","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>a\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmtext> \u003C\u002Fmtext>\u003Cmi>b\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">a,\\ b\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:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">a\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\"> \u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">b\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":1685,"meaning":3262,"symbolHtml":3263},"beliebige reelle Zahl","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>x\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">x\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:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","ZGJ5PwAVHXR0EMDd_muk2t9PHTBPyp1C-b1U9o0-hOQ",[3266,3269,3272,3275],{"stem":3267,"title":3268,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fdichtefunktion","Dichtefunktion",{"stem":3270,"title":3271,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fdiskrete-gleichverteilung","Diskrete Gleichverteilung",{"stem":3273,"title":3274,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Ferwartungswert-stetige-zufallsgroesse","Erwartungswert einer stetigen Zufallsgröße",{"stem":3276,"title":3277,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fverteilungsfunktion","Verteilungsfunktion",1793824287827]