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stimmen Erwartungswert und Varianz überein. 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e^{\\lambda}",[569,981,983,1169],{"className":982,"ariaHidden":599},[598],[569,984,986,989,1060,1063,1160,1163,1166],{"className":985},[603],[569,987],{"className":988,"style":748},[607],[569,990,993,999],{"className":991},[992],"mop",[569,994,940],{"className":995,"style":998},[992,996,997],"op-symbol","small-op","position:relative;top:0em;",[569,1000,1002],{"className":1001},[829],[569,1003,1005,1051],{"className":1004},[762,763],[569,1006,1008,1048],{"className":1007},[767],[569,1009,1012,1033],{"className":1010,"style":1011},[771],"height:0.8043em;",[569,1013,1015,1018],{"style":1014},"top:-2.4003em;margin-left:0em;margin-right:0.05em;",[569,1016],{"className":1017,"style":901},[779],[569,1019,1021],{"className":1020},[784,785,786,787],[569,1022,1024,1027,1030],{"className":1023},[612,787],[569,1025,643],{"className":1026,"style":728},[612,613,787],[569,1028,640],{"className":1029},[715,787],[569,1031,950],{"className":1032},[612,787],[569,1034,1036,1039],{"style":1035},"top:-3.2029em;margin-right:0.05em;",[569,1037],{"className":1038,"style":901},[779],[569,1040,1042],{"className":1041},[784,785,786,787],[569,1043,1045],{"className":1044},[612,787],[569,1046,954],{"className":1047},[612,787],[569,1049,859],{"className":1050},[858],[569,1052,1054],{"className":1053},[767],[569,1055,1058],{"className":1056,"style":1057},[771],"height:0.2997em;",[569,1059],{},[569,1061],{"className":1062,"style":875},[710],[569,1064,1066,1069,1157],{"className":1065},[612],[569,1067],{"className":1068},[703,755],[569,1070,1072],{"className":1071},[650],[569,1073,1075,1149],{"className":1074},[762,763],[569,1076,1078,1146],{"className":1077},[767],[569,1079,1081,1098,1106],{"className":1080,"style":772},[771],[569,1082,1083,1086],{"style":775},[569,1084],{"className":1085,"style":780},[779],[569,1087,1089],{"className":1088},[784,785,786,787],[569,1090,1092,1095],{"className":1091},[612,787],[569,1093,643],{"className":1094,"style":728},[612,613,787],[569,1096,666],{"className":1097},[732,787],[569,1099,1100,1103],{"style":799},[569,1101],{"className":1102,"style":780},[779],[569,1104],{"className":1105,"style":807},[806],[569,1107,1108,1111],{"style":810},[569,1109],{"className":1110,"style":780},[779],[569,1112,1114],{"className":1113},[784,785,786,787],[569,1115,1117],{"className":1116},[612,787],[569,1118,1120,1123],{"className":1119},[612,787],[569,1121,657],{"className":1122},[612,613,787],[569,1124,1126],{"className":1125},[829],[569,1127,1129],{"className":1128},[762],[569,1130,1132],{"className":1131},[767],[569,1133,1135],{"className":1134,"style":839},[771],[569,1136,1137,1140],{"style":842},[569,1138],{"className":1139,"style":846},[779],[569,1141,1143],{"className":1142},[784,850,851,787],[569,1144,643],{"className":1145,"style":728},[612,613,787],[569,1147,859],{"className":1148},[858],[569,1150,1152],{"className":1151},[767],[569,1153,1155],{"className":1154,"style":866},[771],[569,1156],{},[569,1158],{"className":1159},[732,755],[569,1161],{"className":1162,"style":711},[710],[569,1164,640],{"className":1165},[715],[569,1167],{"className":1168,"style":711},[710],[569,1170,1172,1175],{"className":1171},[603],[569,1173],{"className":1174,"style":894},[607],[569,1176,1178,1181],{"className":1177},[612],[569,1179,675],{"className":1180},[612,613],[569,1182,1184],{"className":1183},[829],[569,1185,1187],{"className":1186},[762],[569,1188,1190],{"className":1189},[767],[569,1191,1193],{"className":1192,"style":894},[771],[569,1194,1195,1198],{"style":897},[569,1196],{"className":1197,"style":901},[779],[569,1199,1201],{"className":1200},[784,785,786,787],[569,1202,1204],{"className":1203},[612,787],[569,1205,657],{"className":1206},[612,613,787],":",[569,1209,1212],{"className":1210},[1211],"katex-display",[569,1213,1215,1348],{"className":1214},[572],[569,1216,1218],{"className":1217},[576],[578,1219,1221],{"xmlns":580,"display":1220},"block",[582,1222,1223,1345],{},[585,1224,1225,1228,1230,1232,1234,1236,1252,1254,1257,1271,1273,1283,1285,1287,1301,1329,1331,1341,1343],{},[588,1226,1227],{},"E",[632,1229,635],{"stretchy":634},[588,1231,590],{},[632,1233,646],{"stretchy":634},[632,1235,640],{},[1237,1238,1239,1241,1250],"munderover",{},[632,1240,940],{},[585,1242,1243,1245,1247],{},[588,1244,643],{},[632,1246,640],{},[948,1248,1249],{},"1",[588,1251,954],{"mathvariant":953},[588,1253,643],{},[632,1255,1256],{},"⋅",[650,1258,1259,1265],{},[653,1260,1261,1263],{},[588,1262,657],{},[588,1264,643],{},[585,1266,1267,1269],{},[588,1268,643],{},[632,1270,666],{"stretchy":634},[668,1272,670],{},[653,1274,1275,1277],{},[588,1276,675],{},[585,1278,1279,1281],{},[632,1280,680],{},[588,1282,657],{},[632,1284,640],{},[588,1286,657],{},[1237,1288,1289,1291,1299],{},[632,1290,940],{},[585,1292,1293,1295,1297],{},[588,1294,643],{},[632,1296,640],{},[948,1298,1249],{},[588,1300,954],{"mathvariant":953},[650,1302,1303,1315],{},[653,1304,1305,1307],{},[588,1306,657],{},[585,1308,1309,1311,1313],{},[588,1310,643],{},[632,1312,680],{},[948,1314,1249],{},[585,1316,1317,1319,1321,1323,1325,1327],{},[632,1318,635],{"stretchy":634},[588,1320,643],{},[632,1322,680],{},[948,1324,1249],{},[632,1326,646],{"stretchy":634},[632,1328,666],{"stretchy":634},[668,1330,670],{},[653,1332,1333,1335],{},[588,1334,675],{},[585,1336,1337,1339],{},[632,1338,680],{},[588,1340,657],{},[632,1342,640],{},[588,1344,657],{},[592,1346,1347],{"encoding":594},"E(X) = \\sum_{k=1}^{\\infty} k \\cdot \\frac{\\lambda^k}{k!}\\,e^{-\\lambda} = \\lambda \\sum_{k=1}^{\\infty} \\frac{\\lambda^{k-1}}{(k-1)!}\\,e^{-\\lambda} = \\lambda",[569,1349,1351,1379,1478,1629,1875],{"className":1350,"ariaHidden":599},[598],[569,1352,1354,1357,1361,1364,1367,1370,1373,1376],{"className":1353},[603],[569,1355],{"className":1356,"style":695},[607],[569,1358,1227],{"className":1359,"style":1360},[612,613],"margin-right:0.0576em;",[569,1362,635],{"className":1363},[703],[569,1365,590],{"className":1366,"style":614},[612,613],[569,1368,646],{"className":1369},[732],[569,1371],{"className":1372,"style":711},[710],[569,1374,640],{"className":1375},[715],[569,1377],{"className":1378,"style":711},[710],[569,1380,1382,1386,1461,1464,1467,1471,1475],{"className":1381},[603],[569,1383],{"className":1384,"style":1385},[607],"height:2.9535em;vertical-align:-1.3021em;",[569,1387,1390],{"className":1388},[992,1389],"op-limits",[569,1391,1393,1452],{"className":1392},[762,763],[569,1394,1396,1449],{"className":1395},[767],[569,1397,1400,1422,1434],{"className":1398,"style":1399},[771],"height:1.6514em;",[569,1401,1403,1407],{"style":1402},"top:-1.8479em;margin-left:0em;",[569,1404],{"className":1405,"style":1406},[779],"height:3.05em;",[569,1408,1410],{"className":1409},[784,785,786,787],[569,1411,1413,1416,1419],{"className":1412},[612,787],[569,1414,643],{"className":1415,"style":728},[612,613,787],[569,1417,640],{"className":1418},[715,787],[569,1420,1249],{"className":1421},[612,787],[569,1423,1425,1428],{"style":1424},"top:-3.05em;",[569,1426],{"className":1427,"style":1406},[779],[569,1429,1430],{},[569,1431,940],{"className":1432},[992,996,1433],"large-op",[569,1435,1437,1440],{"style":1436},"top:-4.3em;margin-left:0em;",[569,1438],{"className":1439,"style":1406},[779],[569,1441,1443],{"className":1442},[784,785,786,787],[569,1444,1446],{"className":1445},[612,787],[569,1447,954],{"className":1448},[612,787],[569,1450,859],{"className":1451},[858],[569,1453,1455],{"className":1454},[767],[569,1456,1459],{"className":1457,"style":1458},[771],"height:1.3021em;",[569,1460],{},[569,1462],{"className":1463,"style":875},[710],[569,1465,643],{"className":1466,"style":728},[612,613],[569,1468],{"className":1469,"style":1470},[710],"margin-right:0.2222em;",[569,1472,1256],{"className":1473},[1474],"mbin",[569,1476],{"className":1477,"style":1470},[710],[569,1479,1481,1485,1580,1583,1620,1623,1626],{"className":1480},[603],[569,1482],{"className":1483,"style":1484},[607],"height:2.2121em;vertical-align:-0.686em;",[569,1486,1488,1491,1577],{"className":1487},[612],[569,1489],{"className":1490},[703,755],[569,1492,1494],{"className":1493},[650],[569,1495,1497,1568],{"className":1496},[762,763],[569,1498,1500,1565],{"className":1499},[767],[569,1501,1504,1519,1527],{"className":1502,"style":1503},[771],"height:1.5261em;",[569,1505,1507,1510],{"style":1506},"top:-2.314em;",[569,1508],{"className":1509,"style":780},[779],[569,1511,1513,1516],{"className":1512},[612],[569,1514,643],{"className":1515,"style":728},[612,613],[569,1517,666],{"className":1518},[732],[569,1520,1521,1524],{"style":799},[569,1522],{"className":1523,"style":780},[779],[569,1525],{"className":1526,"style":807},[806],[569,1528,1530,1533],{"style":1529},"top:-3.677em;",[569,1531],{"className":1532,"style":780},[779],[569,1534,1536],{"className":1535},[612],[569,1537,1539,1542],{"className":1538},[612],[569,1540,657],{"className":1541},[612,613],[569,1543,1545],{"className":1544},[829],[569,1546,1548],{"className":1547},[762],[569,1549,1551],{"className":1550},[767],[569,1552,1554],{"className":1553,"style":894},[771],[569,1555,1556,1559],{"style":897},[569,1557],{"className":1558,"style":901},[779],[569,1560,1562],{"className":1561},[784,785,786,787],[569,1563,643],{"className":1564,"style":728},[612,613,787],[569,1566,859],{"className":1567},[858],[569,1569,1571],{"className":1570},[767],[569,1572,1575],{"className":1573,"style":1574},[771],"height:0.686em;",[569,1576],{},[569,1578],{"className":1579},[732,755],[569,1581],{"className":1582,"style":875},[710],[569,1584,1586,1589],{"className":1585},[612],[569,1587,675],{"className":1588},[612,613],[569,1590,1592],{"className":1591},[829],[569,1593,1595],{"className":1594},[762],[569,1596,1598],{"className":1597},[767],[569,1599,1602],{"className":1600,"style":1601},[771],"height:0.8991em;",[569,1603,1605,1608],{"style":1604},"top:-3.113em;margin-right:0.05em;",[569,1606],{"className":1607,"style":901},[779],[569,1609,1611],{"className":1610},[784,785,786,787],[569,1612,1614,1617],{"className":1613},[612,787],[569,1615,680],{"className":1616},[612,787],[569,1618,657],{"className":1619},[612,613,787],[569,1621],{"className":1622,"style":711},[710],[569,1624,640],{"className":1625},[715],[569,1627],{"className":1628,"style":711},[710],[569,1630,1632,1635,1638,1641,1708,1711,1828,1831,1866,1869,1872],{"className":1631},[603],[569,1633],{"className":1634,"style":1385},[607],[569,1636,657],{"className":1637},[612,613],[569,1639],{"className":1640,"style":875},[710],[569,1642,1644],{"className":1643},[992,1389],[569,1645,1647,1700],{"className":1646},[762,763],[569,1648,1650,1697],{"className":1649},[767],[569,1651,1653,1673,1683],{"className":1652,"style":1399},[771],[569,1654,1655,1658],{"style":1402},[569,1656],{"className":1657,"style":1406},[779],[569,1659,1661],{"className":1660},[784,785,786,787],[569,1662,1664,1667,1670],{"className":1663},[612,787],[569,1665,643],{"className":1666,"style":728},[612,613,787],[569,1668,640],{"className":1669},[715,787],[569,1671,1249],{"className":1672},[612,787],[569,1674,1675,1678],{"style":1424},[569,1676],{"className":1677,"style":1406},[779],[569,1679,1680],{},[569,1681,940],{"className":1682},[992,996,1433],[569,1684,1685,1688],{"style":1436},[569,1686],{"className":1687,"style":1406},[779],[569,1689,1691],{"className":1690},[784,785,786,787],[569,1692,1694],{"className":1693},[612,787],[569,1695,954],{"className":1696},[612,787],[569,1698,859],{"className":1699},[858],[569,1701,1703],{"className":1702},[767],[569,1704,1706],{"className":1705,"style":1458},[771],[569,1707],{},[569,1709],{"className":1710,"style":875},[710],[569,1712,1714,1717,1825],{"className":1713},[612],[569,1715],{"className":1716},[703,755],[569,1718,1720],{"className":1719},[650],[569,1721,1723,1816],{"className":1722},[762,763],[569,1724,1726,1813],{"className":1725},[767],[569,1727,1729,1759,1767],{"className":1728,"style":1503},[771],[569,1730,1731,1734],{"style":1506},[569,1732],{"className":1733,"style":780},[779],[569,1735,1737,1740,1743,1746,1749,1752,1755],{"className":1736},[612],[569,1738,635],{"className":1739},[703],[569,1741,643],{"className":1742,"style":728},[612,613],[569,1744],{"className":1745,"style":1470},[710],[569,1747,680],{"className":1748},[1474],[569,1750],{"className":1751,"style":1470},[710],[569,1753,1249],{"className":1754},[612],[569,1756,1758],{"className":1757},[732],")!",[569,1760,1761,1764],{"style":799},[569,1762],{"className":1763,"style":780},[779],[569,1765],{"className":1766,"style":807},[806],[569,1768,1769,1772],{"style":1529},[569,1770],{"className":1771,"style":780},[779],[569,1773,1775],{"className":1774},[612],[569,1776,1778,1781],{"className":1777},[612],[569,1779,657],{"className":1780},[612,613],[569,1782,1784],{"className":1783},[829],[569,1785,1787],{"className":1786},[762],[569,1788,1790],{"className":1789},[767],[569,1791,1793],{"className":1792,"style":894},[771],[569,1794,1795,1798],{"style":897},[569,1796],{"className":1797,"style":901},[779],[569,1799,1801],{"className":1800},[784,785,786,787],[569,1802,1804,1807,1810],{"className":1803},[612,787],[569,1805,643],{"className":1806,"style":728},[612,613,787],[569,1808,680],{"className":1809},[1474,787],[569,1811,1249],{"className":1812},[612,787],[569,1814,859],{"className":1815},[858],[569,1817,1819],{"className":1818},[767],[569,1820,1823],{"className":1821,"style":1822},[771],"height:0.936em;",[569,1824],{},[569,1826],{"className":1827},[732,755],[569,1829],{"className":1830,"style":875},[710],[569,1832,1834,1837],{"className":1833},[612],[569,1835,675],{"className":1836},[612,613],[569,1838,1840],{"className":1839},[829],[569,1841,1843],{"className":1842},[762],[569,1844,1846],{"className":1845},[767],[569,1847,1849],{"className":1848,"style":1601},[771],[569,1850,1851,1854],{"style":1604},[569,1852],{"className":1853,"style":901},[779],[569,1855,1857],{"className":1856},[784,785,786,787],[569,1858,1860,1863],{"className":1859},[612,787],[569,1861,680],{"className":1862},[612,787],[569,1864,657],{"className":1865},[612,613,787],[569,1867],{"className":1868,"style":711},[710],[569,1870,640],{"className":1871},[715],[569,1873],{"className":1874,"style":711},[710],[569,1876,1878,1882],{"className":1877},[603],[569,1879],{"className":1880,"style":1881},[607],"height:0.6944em;",[569,1883,657],{"className":1884},[612,613],[565,1886,1887,1888,2032],{},"Genauso ergibt sich ",[569,1889,1891,1931],{"className":1890},[572],[569,1892,1894],{"className":1893},[576],[578,1895,1896],{"xmlns":580},[582,1897,1898,1928],{},[585,1899,1900,1902,1905,1907,1909,1911,1913,1915,1917,1919,1921],{},[588,1901,1227],{},[632,1903,635],{"fence":634,"stretchy":599,"minsize":1904,"maxsize":1904},"1.2em",[588,1906,590],{},[632,1908,635],{"stretchy":634},[588,1910,590],{},[632,1912,680],{},[948,1914,1249],{},[632,1916,646],{"stretchy":634},[632,1918,646],{"fence":634,"stretchy":599,"minsize":1904,"maxsize":1904},[632,1920,640],{},[653,1922,1923,1925],{},[588,1924,657],{},[948,1926,1927],{},"2",[592,1929,1930],{"encoding":594},"E\\big(X(X-1)\\big) = \\lambda^2",[569,1932,1934,1969,1996],{"className":1933,"ariaHidden":599},[598],[569,1935,1937,1941,1944,1951,1954,1957,1960,1963,1966],{"className":1936},[603],[569,1938],{"className":1939,"style":1940},[607],"height:1.2em;vertical-align:-0.35em;",[569,1942,1227],{"className":1943,"style":1360},[612,613],[569,1945,1947],{"className":1946},[612],[569,1948,635],{"className":1949},[1950,851],"delimsizing",[569,1952,590],{"className":1953,"style":614},[612,613],[569,1955,635],{"className":1956},[703],[569,1958,590],{"className":1959,"style":614},[612,613],[569,1961],{"className":1962,"style":1470},[710],[569,1964,680],{"className":1965},[1474],[569,1967],{"className":1968,"style":1470},[710],[569,1970,1972,1975,1978,1981,1987,1990,1993],{"className":1971},[603],[569,1973],{"className":1974,"style":1940},[607],[569,1976,1249],{"className":1977},[612],[569,1979,646],{"className":1980},[732],[569,1982,1984],{"className":1983},[612],[569,1985,646],{"className":1986},[1950,851],[569,1988],{"className":1989,"style":711},[710],[569,1991,640],{"className":1992},[715],[569,1994],{"className":1995,"style":711},[710],[569,1997,1999,2003],{"className":1998},[603],[569,2000],{"className":2001,"style":2002},[607],"height:0.8141em;",[569,2004,2006,2009],{"className":2005},[612],[569,2007,657],{"className":2008},[612,613],[569,2010,2012],{"className":2011},[829],[569,2013,2015],{"className":2014},[762],[569,2016,2018],{"className":2017},[767],[569,2019,2021],{"className":2020,"style":2002},[771],[569,2022,2023,2026],{"style":897},[569,2024],{"className":2025,"style":901},[779],[569,2027,2029],{"className":2028},[784,785,786,787],[569,2030,1927],{"className":2031},[612,787],". Mit dem Verschiebungssatz folgt",[569,2034,2036],{"className":2035},[1211],[569,2037,2039,2133],{"className":2038},[572],[569,2040,2042],{"className":2041},[576],[578,2043,2044],{"xmlns":580,"display":1220},[582,2045,2046,2130],{},[585,2047,2048,2051,2053,2055,2057,2059,2061,2063,2065,2067,2069,2071,2073,2075,2077,2080,2082,2084,2086,2088,2090,2092,2094,2096,2098,2100,2106,2108,2114,2116,2118,2120,2126,2128],{},[588,2049,2050],{},"V",[632,2052,635],{"stretchy":634},[588,2054,590],{},[632,2056,646],{"stretchy":634},[632,2058,640],{},[588,2060,1227],{},[632,2062,635],{"fence":634,"stretchy":599,"minsize":1904,"maxsize":1904},[588,2064,590],{},[632,2066,635],{"stretchy":634},[588,2068,590],{},[632,2070,680],{},[948,2072,1249],{},[632,2074,646],{"stretchy":634},[632,2076,646],{"fence":634,"stretchy":599,"minsize":1904,"maxsize":1904},[632,2078,2079],{},"+",[588,2081,1227],{},[632,2083,635],{"stretchy":634},[588,2085,590],{},[632,2087,646],{"stretchy":634},[632,2089,680],{},[632,2091,635],{"fence":634,"stretchy":599,"minsize":1904,"maxsize":1904},[588,2093,1227],{},[632,2095,635],{"stretchy":634},[588,2097,590],{},[632,2099,646],{"stretchy":634},[653,2101,2102,2104],{},[632,2103,646],{"fence":634,"stretchy":599,"minsize":1904,"maxsize":1904},[948,2105,1927],{},[632,2107,640],{},[653,2109,2110,2112],{},[588,2111,657],{},[948,2113,1927],{},[632,2115,2079],{},[588,2117,657],{},[632,2119,680],{},[653,2121,2122,2124],{},[588,2123,657],{},[948,2125,1927],{},[632,2127,640],{},[588,2129,657],{},[592,2131,2132],{"encoding":594},"V(X) = E\\big(X(X-1)\\big) + E(X) - \\big(E(X)\\big)^2 = \\lambda^2 + \\lambda - \\lambda^2 = \\lambda",[569,2134,2136,2163,2196,2223,2250,2318,2364,2383,2427],{"className":2135,"ariaHidden":599},[598],[569,2137,2139,2142,2145,2148,2151,2154,2157,2160],{"className":2138},[603],[569,2140],{"className":2141,"style":695},[607],[569,2143,2050],{"className":2144,"style":1470},[612,613],[569,2146,635],{"className":2147},[703],[569,2149,590],{"className":2150,"style":614},[612,613],[569,2152,646],{"className":2153},[732],[569,2155],{"className":2156,"style":711},[710],[569,2158,640],{"className":2159},[715],[569,2161],{"className":2162,"style":711},[710],[569,2164,2166,2169,2172,2178,2181,2184,2187,2190,2193],{"className":2165},[603],[569,2167],{"className":2168,"style":1940},[607],[569,2170,1227],{"className":2171,"style":1360},[612,613],[569,2173,2175],{"className":2174},[612],[569,2176,635],{"className":2177},[1950,851],[569,2179,590],{"className":2180,"style":614},[612,613],[569,2182,635],{"className":2183},[703],[569,2185,590],{"className":2186,"style":614},[612,613],[569,2188],{"className":2189,"style":1470},[710],[569,2191,680],{"className":2192},[1474],[569,2194],{"className":2195,"style":1470},[710],[569,2197,2199,2202,2205,2208,2214,2217,2220],{"className":2198},[603],[569,2200],{"className":2201,"style":1940},[607],[569,2203,1249],{"className":2204},[612],[569,2206,646],{"className":2207},[732],[569,2209,2211],{"className":2210},[612],[569,2212,646],{"className":2213},[1950,851],[569,2215],{"className":2216,"style":1470},[710],[569,2218,2079],{"className":2219},[1474],[569,2221],{"className":2222,"style":1470},[710],[569,2224,2226,2229,2232,2235,2238,2241,2244,2247],{"className":2225},[603],[569,2227],{"className":2228,"style":695},[607],[569,2230,1227],{"className":2231,"style":1360},[612,613],[569,2233,635],{"className":2234},[703],[569,2236,590],{"className":2237,"style":614},[612,613],[569,2239,646],{"className":2240},[732],[569,2242],{"className":2243,"style":1470},[710],[569,2245,680],{"className":2246},[1474],[569,2248],{"className":2249,"style":1470},[710],[569,2251,2253,2257,2263,2266,2269,2272,2275,2309,2312,2315],{"className":2252},[603],[569,2254],{"className":2255,"style":2256},[607],"height:1.404em;vertical-align:-0.35em;",[569,2258,2260],{"className":2259},[612],[569,2261,635],{"className":2262},[1950,851],[569,2264,1227],{"className":2265,"style":1360},[612,613],[569,2267,635],{"className":2268},[703],[569,2270,590],{"className":2271,"style":614},[612,613],[569,2273,646],{"className":2274},[732],[569,2276,2278,2284],{"className":2277},[612],[569,2279,2281],{"className":2280},[612],[569,2282,646],{"className":2283},[1950,851],[569,2285,2287],{"className":2286},[829],[569,2288,2290],{"className":2289},[762],[569,2291,2293],{"className":2292},[767],[569,2294,2297],{"className":2295,"style":2296},[771],"height:1.054em;",[569,2298,2300,2303],{"style":2299},"top:-3.3029em;margin-right:0.05em;",[569,2301],{"className":2302,"style":901},[779],[569,2304,2306],{"className":2305},[784,785,786,787],[569,2307,1927],{"className":2308},[612,787],[569,2310],{"className":2311,"style":711},[710],[569,2313,640],{"className":2314},[715],[569,2316],{"className":2317,"style":711},[710],[569,2319,2321,2325,2355,2358,2361],{"className":2320},[603],[569,2322],{"className":2323,"style":2324},[607],"height:0.9474em;vertical-align:-0.0833em;",[569,2326,2328,2331],{"className":2327},[612],[569,2329,657],{"className":2330},[612,613],[569,2332,2334],{"className":2333},[829],[569,2335,2337],{"className":2336},[762],[569,2338,2340],{"className":2339},[767],[569,2341,2344],{"className":2342,"style":2343},[771],"height:0.8641em;",[569,2345,2346,2349],{"style":1604},[569,2347],{"className":2348,"style":901},[779],[569,2350,2352],{"className":2351},[784,785,786,787],[569,2353,1927],{"className":2354},[612,787],[569,2356],{"className":2357,"style":1470},[710],[569,2359,2079],{"className":2360},[1474],[569,2362],{"className":2363,"style":1470},[710],[569,2365,2367,2371,2374,2377,2380],{"className":2366},[603],[569,2368],{"className":2369,"style":2370},[607],"height:0.7778em;vertical-align:-0.0833em;",[569,2372,657],{"className":2373},[612,613],[569,2375],{"className":2376,"style":1470},[710],[569,2378,680],{"className":2379},[1474],[569,2381],{"className":2382,"style":1470},[710],[569,2384,2386,2389,2418,2421,2424],{"className":2385},[603],[569,2387],{"className":2388,"style":2343},[607],[569,2390,2392,2395],{"className":2391},[612],[569,2393,657],{"className":2394},[612,613],[569,2396,2398],{"className":2397},[829],[569,2399,2401],{"className":2400},[762],[569,2402,2404],{"className":2403},[767],[569,2405,2407],{"className":2406,"style":2343},[771],[569,2408,2409,2412],{"style":1604},[569,2410],{"className":2411,"style":901},[779],[569,2413,2415],{"className":2414},[784,785,786,787],[569,2416,1927],{"className":2417},[612,787],[569,2419],{"className":2420,"style":711},[710],[569,2422,640],{"className":2423},[715],[569,2425],{"className":2426,"style":711},[710],[569,2428,2430,2433],{"className":2429},[603],[569,2431],{"className":2432,"style":1881},[607],[569,2434,657],{"className":2435},[612,613],[565,2437,2438,2439,2718,2719,2748],{},"Der Variationskoeffizient ",[569,2440,2442,2480],{"className":2441},[572],[569,2443,2445],{"className":2444},[576],[578,2446,2447],{"xmlns":580},[582,2448,2449,2477],{},[585,2450,2451,2466,2468],{},[650,2452,2453,2456],{},[588,2454,2455],{},"σ",[585,2457,2458,2460,2462,2464],{},[588,2459,1227],{},[632,2461,635],{"stretchy":634},[588,2463,590],{},[632,2465,646],{"stretchy":634},[632,2467,640],{},[650,2469,2470,2472],{},[948,2471,1249],{},[2473,2474,2475],"msqrt",{},[588,2476,657],{},[592,2478,2479],{"encoding":594},"\\frac{\\sigma}{E(X)} = \\frac{1}{\\sqrt{\\lambda}}",[569,2481,2483,2579],{"className":2482,"ariaHidden":599},[598],[569,2484,2486,2490,2570,2573,2576],{"className":2485},[603],[569,2487],{"className":2488,"style":2489},[607],"height:1.2154em;vertical-align:-0.52em;",[569,2491,2493,2496,2567],{"className":2492},[612],[569,2494],{"className":2495},[703,755],[569,2497,2499],{"className":2498},[650],[569,2500,2502,2558],{"className":2501},[762,763],[569,2503,2505,2555],{"className":2504},[767],[569,2506,2509,2532,2540],{"className":2507,"style":2508},[771],"height:0.6954em;",[569,2510,2511,2514],{"style":775},[569,2512],{"className":2513,"style":780},[779],[569,2515,2517],{"className":2516},[784,785,786,787],[569,2518,2520,2523,2526,2529],{"className":2519},[612,787],[569,2521,1227],{"className":2522,"style":1360},[612,613,787],[569,2524,635],{"className":2525},[703,787],[569,2527,590],{"className":2528,"style":614},[612,613,787],[569,2530,646],{"className":2531},[732,787],[569,2533,2534,2537],{"style":799},[569,2535],{"className":2536,"style":780},[779],[569,2538],{"className":2539,"style":807},[806],[569,2541,2542,2545],{"style":810},[569,2543],{"className":2544,"style":780},[779],[569,2546,2548],{"className":2547},[784,785,786,787],[569,2549,2551],{"className":2550},[612,787],[569,2552,2455],{"className":2553,"style":2554},[612,613,787],"margin-right:0.0359em;",[569,2556,859],{"className":2557},[858],[569,2559,2561],{"className":2560},[767],[569,2562,2565],{"className":2563,"style":2564},[771],"height:0.52em;",[569,2566],{},[569,2568],{"className":2569},[732,755],[569,2571],{"className":2572,"style":711},[710],[569,2574,640],{"className":2575},[715],[569,2577],{"className":2578,"style":711},[710],[569,2580,2582,2586],{"className":2581},[603],[569,2583],{"className":2584,"style":2585},[607],"height:1.3831em;vertical-align:-0.538em;",[569,2587,2589,2592,2715],{"className":2588},[612],[569,2590],{"className":2591},[703,755],[569,2593,2595],{"className":2594},[650],[569,2596,2598,2706],{"className":2597},[762,763],[569,2599,2601,2703],{"className":2600},[767],[569,2602,2605,2681,2689],{"className":2603,"style":2604},[771],"height:0.8451em;",[569,2606,2608,2611],{"style":2607},"top:-2.5335em;",[569,2609],{"className":2610,"style":780},[779],[569,2612,2614],{"className":2613},[784,785,786,787],[569,2615,2617],{"className":2616},[612,787],[569,2618,2621],{"className":2619},[612,2620,787],"sqrt",[569,2622,2624,2672],{"className":2623},[762,763],[569,2625,2627,2669],{"className":2626},[767],[569,2628,2631,2646],{"className":2629,"style":2630},[771],"height:0.9378em;",[569,2632,2636,2639],{"className":2633,"style":2635},[2634],"svg-align","top:-3em;",[569,2637],{"className":2638,"style":780},[779],[569,2640,2643],{"className":2641,"style":2642},[612,787],"padding-left:0.833em;",[569,2644,657],{"className":2645},[612,613,787],[569,2647,2649,2652],{"style":2648},"top:-2.8978em;",[569,2650],{"className":2651,"style":780},[779],[569,2653,2657],{"className":2654,"style":2656},[2655,787],"hide-tail","min-width:0.853em;height:1.08em;",[2658,2659,2665],"svg",{"xmlns":2660,"width":2661,"height":2662,"viewBox":2663,"preserveAspectRatio":2664},"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg","400em","1.08em","0 0 400000 1080","xMinYMin slice",[2666,2667],"path",{"d":2668},"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",[569,2670,859],{"className":2671},[858],[569,2673,2675],{"className":2674},[767],[569,2676,2679],{"className":2677,"style":2678},[771],"height:0.1022em;",[569,2680],{},[569,2682,2683,2686],{"style":799},[569,2684],{"className":2685,"style":780},[779],[569,2687],{"className":2688,"style":807},[806],[569,2690,2691,2694],{"style":810},[569,2692],{"className":2693,"style":780},[779],[569,2695,2697],{"className":2696},[784,785,786,787],[569,2698,2700],{"className":2699},[612,787],[569,2701,1249],{"className":2702},[612,787],[569,2704,859],{"className":2705},[858],[569,2707,2709],{"className":2708},[767],[569,2710,2713],{"className":2711,"style":2712},[771],"height:0.538em;",[569,2714],{},[569,2716],{"className":2717},[732,755]," wird mit wachsendem ",[569,2720,2722,2736],{"className":2721},[572],[569,2723,2725],{"className":2724},[576],[578,2726,2727],{"xmlns":580},[582,2728,2729,2733],{},[585,2730,2731],{},[588,2732,657],{},[592,2734,2735],{"encoding":594},"\\lambda",[569,2737,2739],{"className":2738,"ariaHidden":599},[598],[569,2740,2742,2745],{"className":2741},[603],[569,2743],{"className":2744,"style":1881},[607],[569,2746,657],{"className":2747},[612,613]," kleiner: Große Zählraten schwanken relativ weniger.",[560,2750,2752],{"id":2751},"beispiele","Beispiele",[565,2754,2755,2756,2809,2810,2906,2907,2935,2936,2906,3063,3092,3093,3234],{},"Für ",[569,2757,2759,2778],{"className":2758},[572],[569,2760,2762],{"className":2761},[576],[578,2763,2764],{"xmlns":580},[582,2765,2766,2775],{},[585,2767,2768,2770,2772],{},[588,2769,657],{},[632,2771,640],{},[948,2773,2774],{},"3",[592,2776,2777],{"encoding":594},"\\lambda = 3",[569,2779,2781,2799],{"className":2780,"ariaHidden":599},[598],[569,2782,2784,2787,2790,2793,2796],{"className":2783},[603],[569,2785],{"className":2786,"style":1881},[607],[569,2788,657],{"className":2789},[612,613],[569,2791],{"className":2792,"style":711},[710],[569,2794,640],{"className":2795},[715],[569,2797],{"className":2798,"style":711},[710],[569,2800,2802,2806],{"className":2801},[603],[569,2803],{"className":2804,"style":2805},[607],"height:0.6444em;",[569,2807,2774],{"className":2808},[612]," ergibt die Summe ",[569,2811,2813,2843],{"className":2812},[572],[569,2814,2816],{"className":2815},[576],[578,2817,2818],{"xmlns":580},[582,2819,2820,2840],{},[585,2821,2822,2824,2826,2828,2830,2832,2834,2836,2838],{},[632,2823,940],{},[588,2825,643],{},[632,2827,1256],{},[588,2829,630],{},[632,2831,635],{"stretchy":634},[588,2833,590],{},[632,2835,640],{},[588,2837,643],{},[632,2839,646],{"stretchy":634},[592,2841,2842],{"encoding":594},"\\sum k \\cdot P(X = k)",[569,2844,2846,2870,2894],{"className":2845,"ariaHidden":599},[598],[569,2847,2849,2852,2855,2858,2861,2864,2867],{"className":2848},[603],[569,2850],{"className":2851,"style":695},[607],[569,2853,940],{"className":2854,"style":998},[992,996,997],[569,2856],{"className":2857,"style":875},[710],[569,2859,643],{"className":2860,"style":728},[612,613],[569,2862],{"className":2863,"style":1470},[710],[569,2865,1256],{"className":2866},[1474],[569,2868],{"className":2869,"style":1470},[710],[569,2871,2873,2876,2879,2882,2885,2888,2891],{"className":2872},[603],[569,2874],{"className":2875,"style":695},[607],[569,2877,630],{"className":2878,"style":699},[612,613],[569,2880,635],{"className":2881},[703],[569,2883,590],{"className":2884,"style":614},[612,613],[569,2886],{"className":2887,"style":711},[710],[569,2889,640],{"className":2890},[715],[569,2892],{"className":2893,"style":711},[710],[569,2895,2897,2900,2903],{"className":2896},[603],[569,2898],{"className":2899,"style":695},[607],[569,2901,643],{"className":2902,"style":728},[612,613],[569,2904,646],{"className":2905},[732]," den Wert ",[569,2908,2910,2923],{"className":2909},[572],[569,2911,2913],{"className":2912},[576],[578,2914,2915],{"xmlns":580},[582,2916,2917,2921],{},[585,2918,2919],{},[948,2920,2774],{},[592,2922,2774],{"encoding":594},[569,2924,2926],{"className":2925,"ariaHidden":599},[598],[569,2927,2929,2932],{"className":2928},[603],[569,2930],{"className":2931,"style":2805},[607],[569,2933,2774],{"className":2934},[612]," und ",[569,2937,2939,2973],{"className":2938},[572],[569,2940,2942],{"className":2941},[576],[578,2943,2944],{"xmlns":580},[582,2945,2946,2970],{},[585,2947,2948,2950,2956,2958,2960,2962,2964,2966,2968],{},[632,2949,940],{},[653,2951,2952,2954],{},[588,2953,643],{},[948,2955,1927],{},[632,2957,1256],{},[588,2959,630],{},[632,2961,635],{"stretchy":634},[588,2963,590],{},[632,2965,640],{},[588,2967,643],{},[632,2969,646],{"stretchy":634},[592,2971,2972],{"encoding":594},"\\sum k^2 \\cdot P(X = k)",[569,2974,2976,3027,3051],{"className":2975,"ariaHidden":599},[598],[569,2977,2979,2983,2986,2989,3018,3021,3024],{"className":2978},[603],[569,2980],{"className":2981,"style":2982},[607],"height:1.0641em;vertical-align:-0.25em;",[569,2984,940],{"className":2985,"style":998},[992,996,997],[569,2987],{"className":2988,"style":875},[710],[569,2990,2992,2995],{"className":2991},[612],[569,2993,643],{"className":2994,"style":728},[612,613],[569,2996,2998],{"className":2997},[829],[569,2999,3001],{"className":3000},[762],[569,3002,3004],{"className":3003},[767],[569,3005,3007],{"className":3006,"style":2002},[771],[569,3008,3009,3012],{"style":897},[569,3010],{"className":3011,"style":901},[779],[569,3013,3015],{"className":3014},[784,785,786,787],[569,3016,1927],{"className":3017},[612,787],[569,3019],{"className":3020,"style":1470},[710],[569,3022,1256],{"className":3023},[1474],[569,3025],{"className":3026,"style":1470},[710],[569,3028,3030,3033,3036,3039,3042,3045,3048],{"className":3029},[603],[569,3031],{"className":3032,"style":695},[607],[569,3034,630],{"className":3035,"style":699},[612,613],[569,3037,635],{"className":3038},[703],[569,3040,590],{"className":3041,"style":614},[612,613],[569,3043],{"className":3044,"style":711},[710],[569,3046,640],{"className":3047},[715],[569,3049],{"className":3050,"style":711},[710],[569,3052,3054,3057,3060],{"className":3053},[603],[569,3055],{"className":3056,"style":695},[607],[569,3058,643],{"className":3059,"style":728},[612,613],[569,3061,646],{"className":3062},[732],[569,3064,3066,3080],{"className":3065},[572],[569,3067,3069],{"className":3068},[576],[578,3070,3071],{"xmlns":580},[582,3072,3073,3078],{},[585,3074,3075],{},[948,3076,3077],{},"12",[592,3079,3077],{"encoding":594},[569,3081,3083],{"className":3082,"ariaHidden":599},[598],[569,3084,3086,3089],{"className":3085},[603],[569,3087],{"className":3088,"style":2805},[607],[569,3090,3077],{"className":3091},[612],". Damit ist ",[569,3094,3096,3132],{"className":3095},[572],[569,3097,3099],{"className":3098},[576],[578,3100,3101],{"xmlns":580},[582,3102,3103,3129],{},[585,3104,3105,3107,3109,3111,3113,3115,3117,3119,3125,3127],{},[588,3106,2050],{},[632,3108,635],{"stretchy":634},[588,3110,590],{},[632,3112,646],{"stretchy":634},[632,3114,640],{},[948,3116,3077],{},[632,3118,680],{},[653,3120,3121,3123],{},[948,3122,2774],{},[948,3124,1927],{},[632,3126,640],{},[948,3128,2774],{},[592,3130,3131],{"encoding":594},"V(X) = 12 - 3^2 = 3",[569,3133,3135,3162,3181,3225],{"className":3134,"ariaHidden":599},[598],[569,3136,3138,3141,3144,3147,3150,3153,3156,3159],{"className":3137},[603],[569,3139],{"className":3140,"style":695},[607],[569,3142,2050],{"className":3143,"style":1470},[612,613],[569,3145,635],{"className":3146},[703],[569,3148,590],{"className":3149,"style":614},[612,613],[569,3151,646],{"className":3152},[732],[569,3154],{"className":3155,"style":711},[710],[569,3157,640],{"className":3158},[715],[569,3160],{"className":3161,"style":711},[710],[569,3163,3165,3169,3172,3175,3178],{"className":3164},[603],[569,3166],{"className":3167,"style":3168},[607],"height:0.7278em;vertical-align:-0.0833em;",[569,3170,3077],{"className":3171},[612],[569,3173],{"className":3174,"style":1470},[710],[569,3176,680],{"className":3177},[1474],[569,3179],{"className":3180,"style":1470},[710],[569,3182,3184,3187,3216,3219,3222],{"className":3183},[603],[569,3185],{"className":3186,"style":2002},[607],[569,3188,3190,3193],{"className":3189},[612],[569,3191,2774],{"className":3192},[612],[569,3194,3196],{"className":3195},[829],[569,3197,3199],{"className":3198},[762],[569,3200,3202],{"className":3201},[767],[569,3203,3205],{"className":3204,"style":2002},[771],[569,3206,3207,3210],{"style":897},[569,3208],{"className":3209,"style":901},[779],[569,3211,3213],{"className":3212},[784,785,786,787],[569,3214,1927],{"className":3215},[612,787],[569,3217],{"className":3218,"style":711},[710],[569,3220,640],{"className":3221},[715],[569,3223],{"className":3224,"style":711},[710],[569,3226,3228,3231],{"className":3227},[603],[569,3229],{"className":3230,"style":2805},[607],[569,3232,2774],{"className":3233},[612],".",[565,3236,3237,3238,3267,3268,3392,3393,3421,3422,3451],{},"In einer Notaufnahme kommen nachts im Mittel ",[569,3239,3241,3255],{"className":3240},[572],[569,3242,3244],{"className":3243},[576],[578,3245,3246],{"xmlns":580},[582,3247,3248,3253],{},[585,3249,3250],{},[948,3251,3252],{},"4",[592,3254,3252],{"encoding":594},[569,3256,3258],{"className":3257,"ariaHidden":599},[598],[569,3259,3261,3264],{"className":3260},[603],[569,3262],{"className":3263,"style":2805},[607],[569,3265,3252],{"className":3266},[612]," Patienten pro Stunde an. Dann ist ",[569,3269,3271,3295],{"className":3270},[572],[569,3272,3274],{"className":3273},[576],[578,3275,3276],{"xmlns":580},[582,3277,3278,3292],{},[585,3279,3280,3282,3284,3288,3290],{},[588,3281,2455],{},[632,3283,640],{},[2473,3285,3286],{},[948,3287,3252],{},[632,3289,640],{},[948,3291,1927],{},[592,3293,3294],{"encoding":594},"\\sigma = \\sqrt{4} = 2",[569,3296,3298,3317,3383],{"className":3297,"ariaHidden":599},[598],[569,3299,3301,3305,3308,3311,3314],{"className":3300},[603],[569,3302],{"className":3303,"style":3304},[607],"height:0.4306em;",[569,3306,2455],{"className":3307,"style":2554},[612,613],[569,3309],{"className":3310,"style":711},[710],[569,3312,640],{"className":3313},[715],[569,3315],{"className":3316,"style":711},[710],[569,3318,3320,3324,3374,3377,3380],{"className":3319},[603],[569,3321],{"className":3322,"style":3323},[607],"height:1.04em;vertical-align:-0.1328em;",[569,3325,3327],{"className":3326},[612,2620],[569,3328,3330,3365],{"className":3329},[762,763],[569,3331,3333,3362],{"className":3332},[767],[569,3334,3337,3349],{"className":3335,"style":3336},[771],"height:0.9072em;",[569,3338,3340,3343],{"className":3339,"style":2635},[2634],[569,3341],{"className":3342,"style":780},[779],[569,3344,3346],{"className":3345,"style":2642},[612],[569,3347,3252],{"className":3348},[612],[569,3350,3352,3355],{"style":3351},"top:-2.8672em;",[569,3353],{"className":3354,"style":780},[779],[569,3356,3358],{"className":3357,"style":2656},[2655],[2658,3359,3360],{"xmlns":2660,"width":2661,"height":2662,"viewBox":2663,"preserveAspectRatio":2664},[2666,3361],{"d":2668},[569,3363,859],{"className":3364},[858],[569,3366,3368],{"className":3367},[767],[569,3369,3372],{"className":3370,"style":3371},[771],"height:0.1328em;",[569,3373],{},[569,3375],{"className":3376,"style":711},[710],[569,3378,640],{"className":3379},[715],[569,3381],{"className":3382,"style":711},[710],[569,3384,3386,3389],{"className":3385},[603],[569,3387],{"className":3388,"style":2805},[607],[569,3390,1927],{"className":3391},[612],": Werte von etwa ",[569,3394,3396,3409],{"className":3395},[572],[569,3397,3399],{"className":3398},[576],[578,3400,3401],{"xmlns":580},[582,3402,3403,3407],{},[585,3404,3405],{},[948,3406,1927],{},[592,3408,1927],{"encoding":594},[569,3410,3412],{"className":3411,"ariaHidden":599},[598],[569,3413,3415,3418],{"className":3414},[603],[569,3416],{"className":3417,"style":2805},[607],[569,3419,1927],{"className":3420},[612]," bis ",[569,3423,3425,3439],{"className":3424},[572],[569,3426,3428],{"className":3427},[576],[578,3429,3430],{"xmlns":580},[582,3431,3432,3437],{},[585,3433,3434],{},[948,3435,3436],{},"6",[592,3438,3436],{"encoding":594},[569,3440,3442],{"className":3441,"ariaHidden":599},[598],[569,3443,3445,3448],{"className":3444},[603],[569,3446],{"className":3447,"style":2805},[607],[569,3449,3436],{"className":3450},[612]," Ankünften pro Stunde sind üblich.",[565,3453,3454,3455,3484,3485,3581],{},"Für eine ganze Nacht von ",[569,3456,3458,3472],{"className":3457},[572],[569,3459,3461],{"className":3460},[576],[578,3462,3463],{"xmlns":580},[582,3464,3465,3470],{},[585,3466,3467],{},[948,3468,3469],{},"8",[592,3471,3469],{"encoding":594},[569,3473,3475],{"className":3474,"ariaHidden":599},[598],[569,3476,3478,3481],{"className":3477},[603],[569,3479],{"className":3480,"style":2805},[607],[569,3482,3469],{"className":3483},[612]," Stunden ist ",[569,3486,3488,3515],{"className":3487},[572],[569,3489,3491],{"className":3490},[576],[578,3492,3493],{"xmlns":580},[582,3494,3495,3512],{},[585,3496,3497,3499,3501,3503,3505,3507,3509],{},[588,3498,657],{},[632,3500,640],{},[948,3502,3252],{},[632,3504,1256],{},[948,3506,3469],{},[632,3508,640],{},[948,3510,3511],{},"32",[592,3513,3514],{"encoding":594},"\\lambda = 4 \\cdot 8 = 32",[569,3516,3518,3536,3554,3572],{"className":3517,"ariaHidden":599},[598],[569,3519,3521,3524,3527,3530,3533],{"className":3520},[603],[569,3522],{"className":3523,"style":1881},[607],[569,3525,657],{"className":3526},[612,613],[569,3528],{"className":3529,"style":711},[710],[569,3531,640],{"className":3532},[715],[569,3534],{"className":3535,"style":711},[710],[569,3537,3539,3542,3545,3548,3551],{"className":3538},[603],[569,3540],{"className":3541,"style":2805},[607],[569,3543,3252],{"className":3544},[612],[569,3546],{"className":3547,"style":1470},[710],[569,3549,1256],{"className":3550},[1474],[569,3552],{"className":3553,"style":1470},[710],[569,3555,3557,3560,3563,3566,3569],{"className":3556},[603],[569,3558],{"className":3559,"style":2805},[607],[569,3561,3469],{"className":3562},[612],[569,3564],{"className":3565,"style":711},[710],[569,3567,640],{"className":3568},[715],[569,3570],{"className":3571,"style":711},[710],[569,3573,3575,3578],{"className":3574},[603],[569,3576],{"className":3577,"style":2805},[607],[569,3579,3511],{"className":3580},[612]," und",[569,3583,3585],{"className":3584},[1211],[569,3586,3588,3622],{"className":3587},[572],[569,3589,3591],{"className":3590},[576],[578,3592,3593],{"xmlns":580,"display":1220},[582,3594,3595,3619],{},[585,3596,3597,3599,3601,3605,3607,3609,3613,3616],{},[588,3598,2455],{},[632,3600,640],{},[2473,3602,3603],{},[948,3604,3511],{},[632,3606,640],{},[948,3608,3252],{},[2473,3610,3611],{},[948,3612,1927],{},[632,3614,3615],{},"≈",[948,3617,3618],{},"5,66",[592,3620,3621],{"encoding":594},"\\sigma = \\sqrt{32} = 4\\sqrt{2} \\approx 5{,}66",[569,3623,3625,3643,3709,3774],{"className":3624,"ariaHidden":599},[598],[569,3626,3628,3631,3634,3637,3640],{"className":3627},[603],[569,3629],{"className":3630,"style":3304},[607],[569,3632,2455],{"className":3633,"style":2554},[612,613],[569,3635],{"className":3636,"style":711},[710],[569,3638,640],{"className":3639},[715],[569,3641],{"className":3642,"style":711},[710],[569,3644,3646,3650,3700,3703,3706],{"className":3645},[603],[569,3647],{"className":3648,"style":3649},[607],"height:1.04em;vertical-align:-0.0839em;",[569,3651,3653],{"className":3652},[612,2620],[569,3654,3656,3691],{"className":3655},[762,763],[569,3657,3659,3688],{"className":3658},[767],[569,3660,3663,3675],{"className":3661,"style":3662},[771],"height:0.9561em;",[569,3664,3666,3669],{"className":3665,"style":2635},[2634],[569,3667],{"className":3668,"style":780},[779],[569,3670,3672],{"className":3671,"style":2642},[612],[569,3673,3511],{"className":3674},[612],[569,3676,3678,3681],{"style":3677},"top:-2.9161em;",[569,3679],{"className":3680,"style":780},[779],[569,3682,3684],{"className":3683,"style":2656},[2655],[2658,3685,3686],{"xmlns":2660,"width":2661,"height":2662,"viewBox":2663,"preserveAspectRatio":2664},[2666,3687],{"d":2668},[569,3689,859],{"className":3690},[858],[569,3692,3694],{"className":3693},[767],[569,3695,3698],{"className":3696,"style":3697},[771],"height:0.0839em;",[569,3699],{},[569,3701],{"className":3702,"style":711},[710],[569,3704,640],{"className":3705},[715],[569,3707],{"className":3708,"style":711},[710],[569,3710,3712,3715,3718,3765,3768,3771],{"className":3711},[603],[569,3713],{"className":3714,"style":3649},[607],[569,3716,3252],{"className":3717},[612],[569,3719,3721],{"className":3720},[612,2620],[569,3722,3724,3757],{"className":3723},[762,763],[569,3725,3727,3754],{"className":3726},[767],[569,3728,3730,3742],{"className":3729,"style":3662},[771],[569,3731,3733,3736],{"className":3732,"style":2635},[2634],[569,3734],{"className":3735,"style":780},[779],[569,3737,3739],{"className":3738,"style":2642},[612],[569,3740,1927],{"className":3741},[612],[569,3743,3744,3747],{"style":3677},[569,3745],{"className":3746,"style":780},[779],[569,3748,3750],{"className":3749,"style":2656},[2655],[2658,3751,3752],{"xmlns":2660,"width":2661,"height":2662,"viewBox":2663,"preserveAspectRatio":2664},[2666,3753],{"d":2668},[569,3755,859],{"className":3756},[858],[569,3758,3760],{"className":3759},[767],[569,3761,3763],{"className":3762,"style":3697},[771],[569,3764],{},[569,3766],{"className":3767,"style":711},[710],[569,3769,3615],{"className":3770},[715],[569,3772],{"className":3773,"style":711},[710],[569,3775,3777,3781,3785,3793],{"className":3776},[603],[569,3778],{"className":3779,"style":3780},[607],"height:0.8389em;vertical-align:-0.1944em;",[569,3782,3784],{"className":3783},[612],"5",[569,3786,3788],{"className":3787},[612],[569,3789,3792],{"className":3790},[3791],"mpunct",",",[569,3794,3796],{"className":3795},[612],"66",[565,3798,3799,3800,3828,3829,3234],{},"Die Standardabweichung wächst also nicht mit dem Faktor ",[569,3801,3803,3816],{"className":3802},[572],[569,3804,3806],{"className":3805},[576],[578,3807,3808],{"xmlns":580},[582,3809,3810,3814],{},[585,3811,3812],{},[948,3813,3469],{},[592,3815,3469],{"encoding":594},[569,3817,3819],{"className":3818,"ariaHidden":599},[598],[569,3820,3822,3825],{"className":3821},[603],[569,3823],{"className":3824,"style":2805},[607],[569,3826,3469],{"className":3827},[612],", sondern nur mit ",[569,3830,3832,3848],{"className":3831},[572],[569,3833,3835],{"className":3834},[576],[578,3836,3837],{"xmlns":580},[582,3838,3839,3845],{},[585,3840,3841],{},[2473,3842,3843],{},[948,3844,3469],{},[592,3846,3847],{"encoding":594},"\\sqrt{8}",[569,3849,3851],{"className":3850,"ariaHidden":599},[598],[569,3852,3854,3857],{"className":3853},[603],[569,3855],{"className":3856,"style":3323},[607],[569,3858,3860],{"className":3859},[612,2620],[569,3861,3863,3896],{"className":3862},[762,763],[569,3864,3866,3893],{"className":3865},[767],[569,3867,3869,3881],{"className":3868,"style":3336},[771],[569,3870,3872,3875],{"className":3871,"style":2635},[2634],[569,3873],{"className":3874,"style":780},[779],[569,3876,3878],{"className":3877,"style":2642},[612],[569,3879,3469],{"className":3880},[612],[569,3882,3883,3886],{"style":3351},[569,3884],{"className":3885,"style":780},[779],[569,3887,3889],{"className":3888,"style":2656},[2655],[2658,3890,3891],{"xmlns":2660,"width":2661,"height":2662,"viewBox":2663,"preserveAspectRatio":2664},[2666,3892],{"d":2668},[569,3894,859],{"className":3895},[858],[569,3897,3899],{"className":3898},[767],[569,3900,3902],{"className":3901,"style":3371},[771],[569,3903],{},[560,3905,3907],{"id":3906},"typische-fehler","Typische Fehler",[3909,3910,3911,4074,4165],"ul",{},[3912,3913,3914,3915,3943,3944,3972,3973,3234],"li",{},"Die Standardabweichung gleich ",[569,3916,3918,3931],{"className":3917},[572],[569,3919,3921],{"className":3920},[576],[578,3922,3923],{"xmlns":580},[582,3924,3925,3929],{},[585,3926,3927],{},[588,3928,657],{},[592,3930,2735],{"encoding":594},[569,3932,3934],{"className":3933,"ariaHidden":599},[598],[569,3935,3937,3940],{"className":3936},[603],[569,3938],{"className":3939,"style":1881},[607],[569,3941,657],{"className":3942},[612,613]," setzen. ",[569,3945,3947,3960],{"className":3946},[572],[569,3948,3950],{"className":3949},[576],[578,3951,3952],{"xmlns":580},[582,3953,3954,3958],{},[585,3955,3956],{},[588,3957,657],{},[592,3959,2735],{"encoding":594},[569,3961,3963],{"className":3962,"ariaHidden":599},[598],[569,3964,3966,3969],{"className":3965},[603],[569,3967],{"className":3968,"style":1881},[607],[569,3970,657],{"className":3971},[612,613]," ist die Varianz, ",[569,3974,3976,3996],{"className":3975},[572],[569,3977,3979],{"className":3978},[576],[578,3980,3981],{"xmlns":580},[582,3982,3983,3993],{},[585,3984,3985,3987,3989],{},[588,3986,2455],{},[632,3988,640],{},[2473,3990,3991],{},[588,3992,657],{},[592,3994,3995],{"encoding":594},"\\sigma = \\sqrt{\\lambda}",[569,3997,3999,4017],{"className":3998,"ariaHidden":599},[598],[569,4000,4002,4005,4008,4011,4014],{"className":4001},[603],[569,4003],{"className":4004,"style":3304},[607],[569,4006,2455],{"className":4007,"style":2554},[612,613],[569,4009],{"className":4010,"style":711},[710],[569,4012,640],{"className":4013},[715],[569,4015],{"className":4016,"style":711},[710],[569,4018,4020,4024],{"className":4019},[603],[569,4021],{"className":4022,"style":4023},[607],"height:1.04em;vertical-align:-0.1078em;",[569,4025,4027],{"className":4026},[612,2620],[569,4028,4030,4065],{"className":4029},[762,763],[569,4031,4033,4062],{"className":4032},[767],[569,4034,4037,4049],{"className":4035,"style":4036},[771],"height:0.9322em;",[569,4038,4040,4043],{"className":4039,"style":2635},[2634],[569,4041],{"className":4042,"style":780},[779],[569,4044,4046],{"className":4045,"style":2642},[612],[569,4047,657],{"className":4048},[612,613],[569,4050,4052,4055],{"style":4051},"top:-2.8922em;",[569,4053],{"className":4054,"style":780},[779],[569,4056,4058],{"className":4057,"style":2656},[2655],[2658,4059,4060],{"xmlns":2660,"width":2661,"height":2662,"viewBox":2663,"preserveAspectRatio":2664},[2666,4061],{"d":2668},[569,4063,859],{"className":4064},[858],[569,4066,4068],{"className":4067},[767],[569,4069,4072],{"className":4070,"style":4071},[771],"height:0.1078em;",[569,4073],{},[3912,4075,4076,4077,4106,4107,4135,4136,4164],{},"Beim Wechsel des Zeitraums ",[569,4078,4080,4094],{"className":4079},[572],[569,4081,4083],{"className":4082},[576],[578,4084,4085],{"xmlns":580},[582,4086,4087,4091],{},[585,4088,4089],{},[588,4090,2455],{},[592,4092,4093],{"encoding":594},"\\sigma",[569,4095,4097],{"className":4096,"ariaHidden":599},[598],[569,4098,4100,4103],{"className":4099},[603],[569,4101],{"className":4102,"style":3304},[607],[569,4104,2455],{"className":4105,"style":2554},[612,613]," statt ",[569,4108,4110,4123],{"className":4109},[572],[569,4111,4113],{"className":4112},[576],[578,4114,4115],{"xmlns":580},[582,4116,4117,4121],{},[585,4118,4119],{},[588,4120,657],{},[592,4122,2735],{"encoding":594},[569,4124,4126],{"className":4125,"ariaHidden":599},[598],[569,4127,4129,4132],{"className":4128},[603],[569,4130],{"className":4131,"style":1881},[607],[569,4133,657],{"className":4134},[612,613]," skalieren. Man skaliert ",[569,4137,4139,4152],{"className":4138},[572],[569,4140,4142],{"className":4141},[576],[578,4143,4144],{"xmlns":580},[582,4145,4146,4150],{},[585,4147,4148],{},[588,4149,657],{},[592,4151,2735],{"encoding":594},[569,4153,4155],{"className":4154,"ariaHidden":599},[598],[569,4156,4158,4161],{"className":4157},[603],[569,4159],{"className":4160,"style":1881},[607],[569,4162,657],{"className":4163},[612,613]," und zieht danach die Wurzel.",[3912,4166,4167],{},"Das Poisson-Modell trotz deutlich abweichender Varianz der Daten verwenden.",{"title":4169,"searchDepth":4170,"depth":4170,"links":4171},"",2,[4172,4173,4174],{"id":562,"depth":4170,"text":563},{"id":2751,"depth":4170,"text":2752},{"id":3906,"depth":4170,"text":3907},[4176,4178,4180,4183,4186,4188,4190,4192,4195],{"lhs":4177,"rhs":2774},"round(sum(map(0:60, f(k) = k * 3^k \u002F k! * exp(-3))), 9)",{"lhs":4179,"rhs":3077},"round(sum(map(0:60, f(k) = k^2 * 3^k \u002F k! * exp(-3))), 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style=\"margin-right:0.0785em;\">X\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">Poisson-verteilt mit Parameter\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>λ\u003C\u002Fmi>\u003Cmo>>\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\lambda > 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:0.7335em;vertical-align:-0.0391em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">λ\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:0.6444em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","poisson-mean-variance","E(X) = \\lambda, \\qquad V(X) = \\lambda, \\qquad \\sigma = \\sqrt{\\lambda}","\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>E\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>X\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmi>λ\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmspace width=\"2em\"\u002F>\u003Cmi>V\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>X\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmi>λ\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmspace width=\"2em\"\u002F>\u003Cmi>σ\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmsqrt>\u003Cmi>λ\u003C\u002Fmi>\u003C\u002Fmsqrt>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">E(X) = \\lambda, \\qquad V(X) = \\lambda, \\qquad \\sigma = \\sqrt{\\lambda}\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:0.0576em;\">E\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">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:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">λ\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:2em;\">\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">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:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">λ\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:2em;\">\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">σ\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:1.04em;vertical-align:-0.0589em;\">\u003C\u002Fspan>\u003Cspan class=\"mord sqrt\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.9811em;\">\u003Cspan class=\"svg-align\" style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\" style=\"padding-left:0.833em;\">\u003Cspan class=\"mord mathnormal\">λ\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-2.9411em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"hide-tail\" style=\"min-width:0.853em;height:1.08em;\">\u003Csvg xmlns=\"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg\" width=\"400em\" height=\"1.08em\" viewBox=\"0 0 400000 1080\" preserveAspectRatio=\"xMinYMin slice\">\u003Cpath d=\"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 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