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\\frac{1}{\\lambda}",[569,1130,1132,1159,1296,1322,1437,1553],{"className":1131,"ariaHidden":599},[598],[569,1133,1135,1138,1141,1144,1147,1150,1153,1156],{"className":1134},[603],[569,1136],{"className":1137,"style":675},[607],[569,1139,847],{"className":1140,"style":904},[612,613],[569,1142,635],{"className":1143},[683],[569,1145,590],{"className":1146,"style":614},[612,613],[569,1148,641],{"className":1149},[690],[569,1151],{"className":1152,"style":695},[694],[569,1154,644],{"className":1155},[699],[569,1157],{"className":1158,"style":695},[694],[569,1160,1162,1166,1225,1229,1232,1235,1238,1278,1281,1284,1287,1290,1293],{"className":1161},[603],[569,1163],{"className":1164,"style":1165},[607],"height:2.3262em;vertical-align:-0.9119em;",[569,1167,1170,1176],{"className":1168},[1169],"mop",[569,1171,1024],{"className":1172,"style":1175},[1169,1173,1174],"op-symbol","large-op","margin-right:0.4445em;position:relative;top:-0.0011em;",[569,1177,1179],{"className":1178},[722],[569,1180,1182,1216],{"className":1181},[726,880],[569,1183,1185,1213],{"className":1184},[730],[569,1186,1189,1201],{"className":1187,"style":1188},[734],"height:1.4143em;",[569,1190,1192,1195],{"style":1191},"top:-1.7881em;margin-left:-0.4445em;margin-right:0.05em;",[569,1193],{"className":1194,"style":742},[741],[569,1196,1198],{"className":1197},[746,747,748,749],[569,1199,783],{"className":1200},[612,749],[569,1202,1204,1207],{"style":1203},"top:-3.8129em;margin-right:0.05em;",[569,1205],{"className":1206,"style":742},[741],[569,1208,1210],{"className":1209},[746,747,748,749],[569,1211,1030],{"className":1212},[612,749],[569,1214,945],{"className":1215},[944],[569,1217,1219],{"className":1218},[730],[569,1220,1223],{"className":1221,"style":1222},[734],"height:0.9119em;",[569,1224],{},[569,1226],{"className":1227,"style":1228},[694],"margin-right:0.1667em;",[569,1230,638],{"className":1231},[612,613],[569,1233],{"className":1234,"style":1228},[694],[569,1236,647],{"className":1237},[612,613],[569,1239,1241,1244],{"className":1240},[612],[569,1242,653],{"className":1243},[612,613],[569,1245,1247],{"className":1246},[722],[569,1248,1250],{"className":1249},[726],[569,1251,1253],{"className":1252},[730],[569,1254,1257],{"className":1255,"style":1256},[734],"height:0.8991em;",[569,1258,1260,1263],{"style":1259},"top:-3.113em;margin-right:0.05em;",[569,1261],{"className":1262,"style":742},[741],[569,1264,1266],{"className":1265},[746,747,748,749],[569,1267,1269,1272,1275],{"className":1268},[612,749],[569,1270,658],{"className":1271},[612,749],[569,1273,647],{"className":1274},[612,613,749],[569,1276,638],{"className":1277},[612,613,749],[569,1279],{"className":1280,"style":1228},[694],[569,1282,1055],{"className":1283},[612,613],[569,1285,638],{"className":1286},[612,613],[569,1288],{"className":1289,"style":695},[694],[569,1291,644],{"className":1292},[699],[569,1294],{"className":1295,"style":695},[694],[569,1297,1299,1303,1311,1315,1319],{"className":1298},[603],[569,1300],{"className":1301,"style":1302},[607],"height:1.8em;vertical-align:-0.65em;",[569,1304,1306],{"className":1305},[612],[569,1307,1063],{"className":1308},[1309,1310],"delimsizing","size2",[569,1312],{"className":1313,"style":1314},[694],"margin-right:0.2222em;",[569,1316,658],{"className":1317},[1318],"mbin",[569,1320],{"className":1321,"style":1314},[694],[569,1323,1325,1329,1332,1370,1428,1431,1434],{"className":1324},[603],[569,1326],{"className":1327,"style":1328},[607],"height:1.904em;vertical-align:-0.6997em;",[569,1330,638],{"className":1331},[612,613],[569,1333,1335,1338],{"className":1334},[612],[569,1336,653],{"className":1337},[612,613],[569,1339,1341],{"className":1340},[722],[569,1342,1344],{"className":1343},[726],[569,1345,1347],{"className":1346},[730],[569,1348,1350],{"className":1349,"style":1256},[734],[569,1351,1352,1355],{"style":1259},[569,1353],{"className":1354,"style":742},[741],[569,1356,1358],{"className":1357},[746,747,748,749],[569,1359,1361,1364,1367],{"className":1360},[612,749],[569,1362,658],{"className":1363},[612,749],[569,1365,647],{"className":1366},[612,613,749],[569,1368,638],{"className":1369},[612,613,749],[569,1371,1373,1379],{"className":1372},[612],[569,1374,1376],{"className":1375},[612],[569,1377,1084],{"className":1378},[1309,1310],[569,1380,1382],{"className":1381},[722],[569,1383,1385,1419],{"className":1384},[726,880],[569,1386,1388,1416],{"className":1387},[730],[569,1389,1392,1404],{"className":1390,"style":1391},[734],"height:1.2043em;",[569,1393,1395,1398],{"style":1394},"top:-2.0003em;margin-right:0.05em;",[569,1396],{"className":1397,"style":742},[741],[569,1399,1401],{"className":1400},[746,747,748,749],[569,1402,783],{"className":1403},[612,749],[569,1405,1407,1410],{"style":1406},"top:-3.6029em;margin-right:0.05em;",[569,1408],{"className":1409,"style":742},[741],[569,1411,1413],{"className":1412},[746,747,748,749],[569,1414,1030],{"className":1415},[612,749],[569,1417,945],{"className":1418},[944],[569,1420,1422],{"className":1421},[730],[569,1423,1426],{"className":1424,"style":1425},[734],"height:0.6997em;",[569,1427],{},[569,1429],{"className":1430,"style":1314},[694],[569,1432,1091],{"className":1433},[1318],[569,1435],{"className":1436,"style":1314},[694],[569,1438,1440,1443,1494,1497,1535,1538,1541,1544,1547,1550],{"className":1439},[603],[569,1441],{"className":1442,"style":1165},[607],[569,1444,1446,1449],{"className":1445},[1169],[569,1447,1024],{"className":1448,"style":1175},[1169,1173,1174],[569,1450,1452],{"className":1451},[722],[569,1453,1455,1486],{"className":1454},[726,880],[569,1456,1458,1483],{"className":1457},[730],[569,1459,1461,1472],{"className":1460,"style":1188},[734],[569,1462,1463,1466],{"style":1191},[569,1464],{"className":1465,"style":742},[741],[569,1467,1469],{"className":1468},[746,747,748,749],[569,1470,783],{"className":1471},[612,749],[569,1473,1474,1477],{"style":1203},[569,1475],{"className":1476,"style":742},[741],[569,1478,1480],{"className":1479},[746,747,748,749],[569,1481,1030],{"className":1482},[612,749],[569,1484,945],{"className":1485},[944],[569,1487,1489],{"className":1488},[730],[569,1490,1492],{"className":1491,"style":1222},[734],[569,1493],{},[569,1495],{"className":1496,"style":1228},[694],[569,1498,1500,1503],{"className":1499},[612],[569,1501,653],{"className":1502},[612,613],[569,1504,1506],{"className":1505},[722],[569,1507,1509],{"className":1508},[726],[569,1510,1512],{"className":1511},[730],[569,1513,1515],{"className":1514,"style":1256},[734],[569,1516,1517,1520],{"style":1259},[569,1518],{"className":1519,"style":742},[741],[569,1521,1523],{"className":1522},[746,747,748,749],[569,1524,1526,1529,1532],{"className":1525},[612,749],[569,1527,658],{"className":1528},[612,749],[569,1530,647],{"className":1531},[612,613,749],[569,1533,638],{"className":1534},[612,613,749],[569,1536],{"className":1537,"style":1228},[694],[569,1539,1055],{"className":1540},[612,613],[569,1542,638],{"className":1543},[612,613],[569,1545],{"className":1546,"style":695},[694],[569,1548,644],{"className":1549},[699],[569,1551],{"className":1552,"style":695},[694],[569,1554,1556,1560],{"className":1555},[603],[569,1557],{"className":1558,"style":1559},[607],"height:2.0074em;vertical-align:-0.686em;",[569,1561,1563,1566,1623],{"className":1562},[612],[569,1564],{"className":1565},[683,873],[569,1567,1569],{"className":1568},[838],[569,1570,1572,1614],{"className":1571},[726,880],[569,1573,1575,1611],{"className":1574},[730],[569,1576,1579,1591,1599],{"className":1577,"style":1578},[734],"height:1.3214em;",[569,1580,1582,1585],{"style":1581},"top:-2.314em;",[569,1583],{"className":1584,"style":894},[741],[569,1586,1588],{"className":1587},[612],[569,1589,647],{"className":1590},[612,613],[569,1592,1593,1596],{"style":916},[569,1594],{"className":1595,"style":894},[741],[569,1597],{"className":1598,"style":924},[923],[569,1600,1602,1605],{"style":1601},"top:-3.677em;",[569,1603],{"className":1604,"style":894},[741],[569,1606,1608],{"className":1607},[612],[569,1609,973],{"className":1610},[612],[569,1612,945],{"className":1613},[944],[569,1615,1617],{"className":1616},[730],[569,1618,1621],{"className":1619,"style":1620},[734],"height:0.686em;",[569,1622],{},[569,1624],{"className":1625},[690,873],[565,1627,1628,1629,1835],{},"Ebenso ergibt sich ",[569,1630,1632,1669],{"className":1631},[572],[569,1633,1635],{"className":1634},[576],[578,1636,1637],{"xmlns":580},[582,1638,1639,1666],{},[585,1640,1641,1643,1645,1652,1654,1656],{},[588,1642,847],{},[632,1644,635],{"stretchy":634},[649,1646,1647,1649],{},[588,1648,590],{},[781,1650,1651],{},"2",[632,1653,641],{"stretchy":634},[632,1655,644],{},[838,1657,1658,1660],{},[781,1659,1651],{},[649,1661,1662,1664],{},[588,1663,647],{},[781,1665,1651],{},[592,1667,1668],{"encoding":594},"E(X^2) = \\frac{2}{\\lambda^2}",[569,1670,1672,1727],{"className":1671,"ariaHidden":599},[598],[569,1673,1675,1679,1682,1685,1715,1718,1721,1724],{"className":1674},[603],[569,1676],{"className":1677,"style":1678},[607],"height:1.0641em;vertical-align:-0.25em;",[569,1680,847],{"className":1681,"style":904},[612,613],[569,1683,635],{"className":1684},[683],[569,1686,1688,1691],{"className":1687},[612],[569,1689,590],{"className":1690,"style":614},[612,613],[569,1692,1694],{"className":1693},[722],[569,1695,1697],{"className":1696},[726],[569,1698,1700],{"className":1699},[730],[569,1701,1704],{"className":1702,"style":1703},[734],"height:0.8141em;",[569,1705,1706,1709],{"style":737},[569,1707],{"className":1708,"style":742},[741],[569,1710,1712],{"className":1711},[746,747,748,749],[569,1713,1651],{"className":1714},[612,749],[569,1716,641],{"className":1717},[690],[569,1719],{"className":1720,"style":695},[694],[569,1722,644],{"className":1723},[699],[569,1725],{"className":1726,"style":695},[694],[569,1728,1730,1734],{"className":1729},[603],[569,1731],{"className":1732,"style":1733},[607],"height:1.1901em;vertical-align:-0.345em;",[569,1735,1737,1740,1832],{"className":1736},[612],[569,1738],{"className":1739},[683,873],[569,1741,1743],{"className":1742},[838],[569,1744,1746,1823],{"className":1745},[726,880],[569,1747,1749,1820],{"className":1748},[730],[569,1750,1753,1798,1806],{"className":1751,"style":1752},[734],"height:0.8451em;",[569,1754,1755,1758],{"style":890},[569,1756],{"className":1757,"style":894},[741],[569,1759,1761],{"className":1760},[746,747,748,749],[569,1762,1764],{"className":1763},[612,749],[569,1765,1767,1770],{"className":1766},[612,749],[569,1768,647],{"className":1769},[612,613,749],[569,1771,1773],{"className":1772},[722],[569,1774,1776],{"className":1775},[726],[569,1777,1779],{"className":1778},[730],[569,1780,1783],{"className":1781,"style":1782},[734],"height:0.7463em;",[569,1784,1786,1790],{"style":1785},"top:-2.786em;margin-right:0.0714em;",[569,1787],{"className":1788,"style":1789},[741],"height:2.5em;",[569,1791,1795],{"className":1792},[746,1793,1794,749],"reset-size3","size1",[569,1796,1651],{"className":1797},[612,749],[569,1799,1800,1803],{"style":916},[569,1801],{"className":1802,"style":894},[741],[569,1804],{"className":1805,"style":924},[923],[569,1807,1808,1811],{"style":927},[569,1809],{"className":1810,"style":894},[741],[569,1812,1814],{"className":1813},[746,747,748,749],[569,1815,1817],{"className":1816},[612,749],[569,1818,1651],{"className":1819},[612,749],[569,1821,945],{"className":1822},[944],[569,1824,1826],{"className":1825},[730],[569,1827,1830],{"className":1828,"style":1829},[734],"height:0.345em;",[569,1831],{},[569,1833],{"className":1834},[690,873],". Mit dem Verschiebungssatz:",[569,1837,1839],{"className":1838},[995],[569,1840,1842,1899],{"className":1841},[572],[569,1843,1845],{"className":1844},[576],[578,1846,1847],{"xmlns":580,"display":1004},[582,1848,1849,1896],{},[585,1850,1851,1854,1856,1858,1860,1862,1872,1874,1884,1886],{},[588,1852,1853],{},"V",[632,1855,635],{"stretchy":634},[588,1857,590],{},[632,1859,641],{"stretchy":634},[632,1861,644],{},[838,1863,1864,1866],{},[781,1865,1651],{},[649,1867,1868,1870],{},[588,1869,647],{},[781,1871,1651],{},[632,1873,658],{},[838,1875,1876,1878],{},[781,1877,973],{},[649,1879,1880,1882],{},[588,1881,647],{},[781,1883,1651],{},[632,1885,644],{},[838,1887,1888,1890],{},[781,1889,973],{},[649,1891,1892,1894],{},[588,1893,647],{},[781,1895,1651],{},[592,1897,1898],{"encoding":594},"V(X) = \\frac{2}{\\lambda^2} - \\frac{1}{\\lambda^2} = \\frac{1}{\\lambda^2}",[569,1900,1902,1929,2034,2137],{"className":1901,"ariaHidden":599},[598],[569,1903,1905,1908,1911,1914,1917,1920,1923,1926],{"className":1904},[603],[569,1906],{"className":1907,"style":675},[607],[569,1909,1853],{"className":1910,"style":1314},[612,613],[569,1912,635],{"className":1913},[683],[569,1915,590],{"className":1916,"style":614},[612,613],[569,1918,641],{"className":1919},[690],[569,1921],{"className":1922,"style":695},[694],[569,1924,644],{"className":1925},[699],[569,1927],{"className":1928,"style":695},[694],[569,1930,1932,1935,2025,2028,2031],{"className":1931},[603],[569,1933],{"className":1934,"style":1559},[607],[569,1936,1938,1941,2022],{"className":1937},[612],[569,1939],{"className":1940},[683,873],[569,1942,1944],{"className":1943},[838],[569,1945,1947,2014],{"className":1946},[726,880],[569,1948,1950,2011],{"className":1949},[730],[569,1951,1953,1992,2000],{"className":1952,"style":1578},[734],[569,1954,1955,1958],{"style":1581},[569,1956],{"className":1957,"style":894},[741],[569,1959,1961],{"className":1960},[612],[569,1962,1964,1967],{"className":1963},[612],[569,1965,647],{"className":1966},[612,613],[569,1968,1970],{"className":1969},[722],[569,1971,1973],{"className":1972},[726],[569,1974,1976],{"className":1975},[730],[569,1977,1980],{"className":1978,"style":1979},[734],"height:0.7401em;",[569,1981,1983,1986],{"style":1982},"top:-2.989em;margin-right:0.05em;",[569,1984],{"className":1985,"style":742},[741],[569,1987,1989],{"className":1988},[746,747,748,749],[569,1990,1651],{"className":1991},[612,749],[569,1993,1994,1997],{"style":916},[569,1995],{"className":1996,"style":894},[741],[569,1998],{"className":1999,"style":924},[923],[569,2001,2002,2005],{"style":1601},[569,2003],{"className":2004,"style":894},[741],[569,2006,2008],{"className":2007},[612],[569,2009,1651],{"className":2010},[612],[569,2012,945],{"className":2013},[944],[569,2015,2017],{"className":2016},[730],[569,2018,2020],{"className":2019,"style":1620},[734],[569,2021],{},[569,2023],{"className":2024},[690,873],[569,2026],{"className":2027,"style":1314},[694],[569,2029,658],{"className":2030},[1318],[569,2032],{"className":2033,"style":1314},[694],[569,2035,2037,2040,2128,2131,2134],{"className":2036},[603],[569,2038],{"className":2039,"style":1559},[607],[569,2041,2043,2046,2125],{"className":2042},[612],[569,2044],{"className":2045},[683,873],[569,2047,2049],{"className":2048},[838],[569,2050,2052,2117],{"className":2051},[726,880],[569,2053,2055,2114],{"className":2054},[730],[569,2056,2058,2095,2103],{"className":2057,"style":1578},[734],[569,2059,2060,2063],{"style":1581},[569,2061],{"className":2062,"style":894},[741],[569,2064,2066],{"className":2065},[612],[569,2067,2069,2072],{"className":2068},[612],[569,2070,647],{"className":2071},[612,613],[569,2073,2075],{"className":2074},[722],[569,2076,2078],{"className":2077},[726],[569,2079,2081],{"className":2080},[730],[569,2082,2084],{"className":2083,"style":1979},[734],[569,2085,2086,2089],{"style":1982},[569,2087],{"className":2088,"style":742},[741],[569,2090,2092],{"className":2091},[746,747,748,749],[569,2093,1651],{"className":2094},[612,749],[569,2096,2097,2100],{"style":916},[569,2098],{"className":2099,"style":894},[741],[569,2101],{"className":2102,"style":924},[923],[569,2104,2105,2108],{"style":1601},[569,2106],{"className":2107,"style":894},[741],[569,2109,2111],{"className":2110},[612],[569,2112,973],{"className":2113},[612],[569,2115,945],{"className":2116},[944],[569,2118,2120],{"className":2119},[730],[569,2121,2123],{"className":2122,"style":1620},[734],[569,2124],{},[569,2126],{"className":2127},[690,873],[569,2129],{"className":2130,"style":695},[694],[569,2132,644],{"className":2133},[699],[569,2135],{"className":2136,"style":695},[694],[569,2138,2140,2143],{"className":2139},[603],[569,2141],{"className":2142,"style":1559},[607],[569,2144,2146,2149,2228],{"className":2145},[612],[569,2147],{"className":2148},[683,873],[569,2150,2152],{"className":2151},[838],[569,2153,2155,2220],{"className":2154},[726,880],[569,2156,2158,2217],{"className":2157},[730],[569,2159,2161,2198,2206],{"className":2160,"style":1578},[734],[569,2162,2163,2166],{"style":1581},[569,2164],{"className":2165,"style":894},[741],[569,2167,2169],{"className":2168},[612],[569,2170,2172,2175],{"className":2171},[612],[569,2173,647],{"className":2174},[612,613],[569,2176,2178],{"className":2177},[722],[569,2179,2181],{"className":2180},[726],[569,2182,2184],{"className":2183},[730],[569,2185,2187],{"className":2186,"style":1979},[734],[569,2188,2189,2192],{"style":1982},[569,2190],{"className":2191,"style":742},[741],[569,2193,2195],{"className":2194},[746,747,748,749],[569,2196,1651],{"className":2197},[612,749],[569,2199,2200,2203],{"style":916},[569,2201],{"className":2202,"style":894},[741],[569,2204],{"className":2205,"style":924},[923],[569,2207,2208,2211],{"style":1601},[569,2209],{"className":2210,"style":894},[741],[569,2212,2214],{"className":2213},[612],[569,2215,973],{"className":2216},[612],[569,2218,945],{"className":2219},[944],[569,2221,2223],{"className":2222},[730],[569,2224,2226],{"className":2225,"style":1620},[734],[569,2227],{},[569,2229],{"className":2230},[690,873],[565,2232,2233,2234,2459,2460,988],{},"Weil die Verteilung rechtsschief ist, liegen deutlich mehr als die Hälfte der Werte unter dem Erwartungswert: ",[569,2235,2237,2297],{"className":2236},[572],[569,2238,2240],{"className":2239},[576],[578,2241,2242],{"xmlns":580},[582,2243,2244,2294],{},[585,2245,2246,2249,2252,2254,2257,2259,2261,2263,2265,2267,2269,2271,2273,2283,2286,2289,2291],{},[588,2247,2248],{},"P",[632,2250,635],{"fence":634,"stretchy":599,"minsize":2251,"maxsize":2251},"1.2em",[588,2253,590],{},[632,2255,2256],{},"≤",[588,2258,847],{},[632,2260,635],{"stretchy":634},[588,2262,590],{},[632,2264,641],{"stretchy":634},[632,2266,641],{"fence":634,"stretchy":599,"minsize":2251,"maxsize":2251},[632,2268,644],{},[781,2270,973],{},[632,2272,658],{},[649,2274,2275,2277],{},[588,2276,653],{},[585,2278,2279,2281],{},[632,2280,658],{},[781,2282,973],{},[632,2284,2285],{},"≈",[781,2287,2288],{},"63,2",[1034,2290,1036],{},[588,2292,2293],{"mathvariant":1029},"%",[592,2295,2296],{"encoding":594},"P\\big(X \\leq E(X)\\big) = 1 - e^{-1} \\approx 63{,}2\\,\\%",[569,2298,2300,2329,2362,2381,2431],{"className":2299,"ariaHidden":599},[598],[569,2301,2303,2307,2311,2317,2320,2323,2326],{"className":2302},[603],[569,2304],{"className":2305,"style":2306},[607],"height:1.2em;vertical-align:-0.35em;",[569,2308,2248],{"className":2309,"style":2310},[612,613],"margin-right:0.1389em;",[569,2312,2314],{"className":2313},[612],[569,2315,635],{"className":2316},[1309,1794],[569,2318,590],{"className":2319,"style":614},[612,613],[569,2321],{"className":2322,"style":695},[694],[569,2324,2256],{"className":2325},[699],[569,2327],{"className":2328,"style":695},[694],[569,2330,2332,2335,2338,2341,2344,2347,2353,2356,2359],{"className":2331},[603],[569,2333],{"className":2334,"style":2306},[607],[569,2336,847],{"className":2337,"style":904},[612,613],[569,2339,635],{"className":2340},[683],[569,2342,590],{"className":2343,"style":614},[612,613],[569,2345,641],{"className":2346},[690],[569,2348,2350],{"className":2349},[612],[569,2351,641],{"className":2352},[1309,1794],[569,2354],{"className":2355,"style":695},[694],[569,2357,644],{"className":2358},[699],[569,2360],{"className":2361,"style":695},[694],[569,2363,2365,2369,2372,2375,2378],{"className":2364},[603],[569,2366],{"className":2367,"style":2368},[607],"height:0.7278em;vertical-align:-0.0833em;",[569,2370,973],{"className":2371},[612],[569,2373],{"className":2374,"style":1314},[694],[569,2376,658],{"className":2377},[1318],[569,2379],{"className":2380,"style":1314},[694],[569,2382,2384,2387,2422,2425,2428],{"className":2383},[603],[569,2385],{"className":2386,"style":1703},[607],[569,2388,2390,2393],{"className":2389},[612],[569,2391,653],{"className":2392},[612,613],[569,2394,2396],{"className":2395},[722],[569,2397,2399],{"className":2398},[726],[569,2400,2402],{"className":2401},[730],[569,2403,2405],{"className":2404,"style":1703},[734],[569,2406,2407,2410],{"style":737},[569,2408],{"className":2409,"style":742},[741],[569,2411,2413],{"className":2412},[746,747,748,749],[569,2414,2416,2419],{"className":2415},[612,749],[569,2417,658],{"className":2418},[612,749],[569,2420,973],{"className":2421},[612,749],[569,2423],{"className":2424,"style":695},[694],[569,2426,2285],{"className":2427},[699],[569,2429],{"className":2430,"style":695},[694],[569,2432,2434,2438,2442,2450,2453,2456],{"className":2433},[603],[569,2435],{"className":2436,"style":2437},[607],"height:0.9444em;vertical-align:-0.1944em;",[569,2439,2441],{"className":2440},[612],"63",[569,2443,2445],{"className":2444},[612],[569,2446,2449],{"className":2447},[2448],"mpunct",",",[569,2451,1651],{"className":2452},[612],[569,2454],{"className":2455,"style":1228},[694],[569,2457,2293],{"className":2458},[612],", unabhängig von ",[569,2461,2463,2477],{"className":2462},[572],[569,2464,2466],{"className":2465},[576],[578,2467,2468],{"xmlns":580},[582,2469,2470,2474],{},[585,2471,2472],{},[588,2473,647],{},[592,2475,2476],{"encoding":594},"\\lambda",[569,2478,2480],{"className":2479,"ariaHidden":599},[598],[569,2481,2483,2487],{"className":2482},[603],[569,2484],{"className":2485,"style":2486},[607],"height:0.6944em;",[569,2488,647],{"className":2489},[612,613],[560,2491,2493],{"id":2492},"beispiele","Beispiele",[565,2495,2496,2497,2548,2549,2615,2616,2712,2713,988],{},"Für ",[569,2498,2500,2518],{"className":2499},[572],[569,2501,2503],{"className":2502},[576],[578,2504,2505],{"xmlns":580},[582,2506,2507,2515],{},[585,2508,2509,2511,2513],{},[588,2510,647],{},[632,2512,644],{},[781,2514,973],{},[592,2516,2517],{"encoding":594},"\\lambda = 1",[569,2519,2521,2539],{"className":2520,"ariaHidden":599},[598],[569,2522,2524,2527,2530,2533,2536],{"className":2523},[603],[569,2525],{"className":2526,"style":2486},[607],[569,2528,647],{"className":2529},[612,613],[569,2531],{"className":2532,"style":695},[694],[569,2534,644],{"className":2535},[699],[569,2537],{"className":2538,"style":695},[694],[569,2540,2542,2545],{"className":2541},[603],[569,2543],{"className":2544,"style":815},[607],[569,2546,973],{"className":2547},[612]," liefert die numerische Integration ",[569,2550,2552,2576],{"className":2551},[572],[569,2553,2555],{"className":2554},[576],[578,2556,2557],{"xmlns":580},[582,2558,2559,2573],{},[585,2560,2561,2563,2565,2567,2569,2571],{},[588,2562,847],{},[632,2564,635],{"stretchy":634},[588,2566,590],{},[632,2568,641],{"stretchy":634},[632,2570,644],{},[781,2572,973],{},[592,2574,2575],{"encoding":594},"E(X) = 1",[569,2577,2579,2606],{"className":2578,"ariaHidden":599},[598],[569,2580,2582,2585,2588,2591,2594,2597,2600,2603],{"className":2581},[603],[569,2583],{"className":2584,"style":675},[607],[569,2586,847],{"className":2587,"style":904},[612,613],[569,2589,635],{"className":2590},[683],[569,2592,590],{"className":2593,"style":614},[612,613],[569,2595,641],{"className":2596},[690],[569,2598],{"className":2599,"style":695},[694],[569,2601,644],{"className":2602},[699],[569,2604],{"className":2605,"style":695},[694],[569,2607,2609,2612],{"className":2608},[603],[569,2610],{"className":2611,"style":815},[607],[569,2613,973],{"className":2614},[612]," und ",[569,2617,2619,2647],{"className":2618},[572],[569,2620,2622],{"className":2621},[576],[578,2623,2624],{"xmlns":580},[582,2625,2626,2644],{},[585,2627,2628,2630,2632,2638,2640,2642],{},[588,2629,847],{},[632,2631,635],{"stretchy":634},[649,2633,2634,2636],{},[588,2635,590],{},[781,2637,1651],{},[632,2639,641],{"stretchy":634},[632,2641,644],{},[781,2643,1651],{},[592,2645,2646],{"encoding":594},"E(X^2) = 2",[569,2648,2650,2703],{"className":2649,"ariaHidden":599},[598],[569,2651,2653,2656,2659,2662,2691,2694,2697,2700],{"className":2652},[603],[569,2654],{"className":2655,"style":1678},[607],[569,2657,847],{"className":2658,"style":904},[612,613],[569,2660,635],{"className":2661},[683],[569,2663,2665,2668],{"className":2664},[612],[569,2666,590],{"className":2667,"style":614},[612,613],[569,2669,2671],{"className":2670},[722],[569,2672,2674],{"className":2673},[726],[569,2675,2677],{"className":2676},[730],[569,2678,2680],{"className":2679,"style":1703},[734],[569,2681,2682,2685],{"style":737},[569,2683],{"className":2684,"style":742},[741],[569,2686,2688],{"className":2687},[746,747,748,749],[569,2689,1651],{"className":2690},[612,749],[569,2692,641],{"className":2693},[690],[569,2695],{"className":2696,"style":695},[694],[569,2698,644],{"className":2699},[699],[569,2701],{"className":2702,"style":695},[694],[569,2704,2706,2709],{"className":2705},[603],[569,2707],{"className":2708,"style":815},[607],[569,2710,1651],{"className":2711},[612],", also ",[569,2714,2716,2748],{"className":2715},[572],[569,2717,2719],{"className":2718},[576],[578,2720,2721],{"xmlns":580},[582,2722,2723,2745],{},[585,2724,2725,2727,2729,2731,2733,2735,2737,2739,2741,2743],{},[588,2726,1853],{},[632,2728,635],{"stretchy":634},[588,2730,590],{},[632,2732,641],{"stretchy":634},[632,2734,644],{},[781,2736,1651],{},[632,2738,658],{},[781,2740,973],{},[632,2742,644],{},[781,2744,973],{},[592,2746,2747],{"encoding":594},"V(X) = 2 - 1 = 1",[569,2749,2751,2778,2796,2814],{"className":2750,"ariaHidden":599},[598],[569,2752,2754,2757,2760,2763,2766,2769,2772,2775],{"className":2753},[603],[569,2755],{"className":2756,"style":675},[607],[569,2758,1853],{"className":2759,"style":1314},[612,613],[569,2761,635],{"className":2762},[683],[569,2764,590],{"className":2765,"style":614},[612,613],[569,2767,641],{"className":2768},[690],[569,2770],{"className":2771,"style":695},[694],[569,2773,644],{"className":2774},[699],[569,2776],{"className":2777,"style":695},[694],[569,2779,2781,2784,2787,2790,2793],{"className":2780},[603],[569,2782],{"className":2783,"style":2368},[607],[569,2785,1651],{"className":2786},[612],[569,2788],{"className":2789,"style":1314},[694],[569,2791,658],{"className":2792},[1318],[569,2794],{"className":2795,"style":1314},[694],[569,2797,2799,2802,2805,2808,2811],{"className":2798},[603],[569,2800],{"className":2801,"style":815},[607],[569,2803,973],{"className":2804},[612],[569,2806],{"className":2807,"style":695},[694],[569,2809,644],{"className":2810},[699],[569,2812],{"className":2813,"style":695},[694],[569,2815,2817,2820],{"className":2816},[603],[569,2818],{"className":2819,"style":815},[607],[569,2821,973],{"className":2822},[612],[565,2824,2825,2826,2855,2856,3010],{},"An einer Supermarktkasse ist die mittlere Bedienzeit ",[569,2827,2829,2843],{"className":2828},[572],[569,2830,2832],{"className":2831},[576],[578,2833,2834],{"xmlns":580},[582,2835,2836,2841],{},[585,2837,2838],{},[781,2839,2840],{},"4",[592,2842,2840],{"encoding":594},[569,2844,2846],{"className":2845,"ariaHidden":599},[598],[569,2847,2849,2852],{"className":2848},[603],[569,2850],{"className":2851,"style":815},[607],[569,2853,2840],{"className":2854},[612]," Minuten, also ",[569,2857,2859,2886],{"className":2858},[572],[569,2860,2862],{"className":2861},[576],[578,2863,2864],{"xmlns":580},[582,2865,2866,2883],{},[585,2867,2868,2870,2872,2878,2880],{},[588,2869,647],{},[632,2871,644],{},[838,2873,2874,2876],{},[781,2875,973],{},[781,2877,2840],{},[632,2879,644],{},[781,2881,2882],{},"0,25",[592,2884,2885],{"encoding":594},"\\lambda = \\frac{1}{4} = 0{,}25",[569,2887,2889,2907,2990],{"className":2888,"ariaHidden":599},[598],[569,2890,2892,2895,2898,2901,2904],{"className":2891},[603],[569,2893],{"className":2894,"style":2486},[607],[569,2896,647],{"className":2897},[612,613],[569,2899],{"className":2900,"style":695},[694],[569,2902,644],{"className":2903},[699],[569,2905],{"className":2906,"style":695},[694],[569,2908,2910,2913,2981,2984,2987],{"className":2909},[603],[569,2911],{"className":2912,"style":1733},[607],[569,2914,2916,2919,2978],{"className":2915},[612],[569,2917],{"className":2918},[683,873],[569,2920,2922],{"className":2921},[838],[569,2923,2925,2970],{"className":2924},[726,880],[569,2926,2928,2967],{"className":2927},[730],[569,2929,2931,2945,2953],{"className":2930,"style":1752},[734],[569,2932,2933,2936],{"style":890},[569,2934],{"className":2935,"style":894},[741],[569,2937,2939],{"className":2938},[746,747,748,749],[569,2940,2942],{"className":2941},[612,749],[569,2943,2840],{"className":2944},[612,749],[569,2946,2947,2950],{"style":916},[569,2948],{"className":2949,"style":894},[741],[569,2951],{"className":2952,"style":924},[923],[569,2954,2955,2958],{"style":927},[569,2956],{"className":2957,"style":894},[741],[569,2959,2961],{"className":2960},[746,747,748,749],[569,2962,2964],{"className":2963},[612,749],[569,2965,973],{"className":2966},[612,749],[569,2968,945],{"className":2969},[944],[569,2971,2973],{"className":2972},[730],[569,2974,2976],{"className":2975,"style":1829},[734],[569,2977],{},[569,2979],{"className":2980},[690,873],[569,2982],{"className":2983,"style":695},[694],[569,2985,644],{"className":2986},[699],[569,2988],{"className":2989,"style":695},[694],[569,2991,2993,2997,3000,3006],{"className":2992},[603],[569,2994],{"className":2995,"style":2996},[607],"height:0.8389em;vertical-align:-0.1944em;",[569,2998,783],{"className":2999},[612],[569,3001,3003],{"className":3002},[612],[569,3004,2449],{"className":3005},[2448],[569,3007,3009],{"className":3008},[612],"25"," pro Minute. Dann ist",[569,3012,3014],{"className":3013},[995],[569,3015,3017,3078],{"className":3016},[572],[569,3018,3020],{"className":3019},[576],[578,3021,3022],{"xmlns":580,"display":1004},[582,3023,3024,3075],{},[585,3025,3026,3028,3030,3032,3034,3036,3046,3048,3051,3053,3060,3062,3065,3067,3069,3071,3073],{},[588,3027,1853],{},[632,3029,635],{"stretchy":634},[588,3031,590],{},[632,3033,641],{"stretchy":634},[632,3035,644],{},[838,3037,3038,3040],{},[781,3039,973],{},[649,3041,3042,3044],{},[781,3043,2882],{},[781,3045,1651],{},[632,3047,644],{},[781,3049,3050],{},"16",[1034,3052,1036],{},[649,3054,3055,3058],{},[1034,3056,3057],{},"min",[781,3059,1651],{},[632,3061,2449],{"separator":599},[694,3063],{"width":3064},"2em",[588,3066,842],{},[632,3068,644],{},[781,3070,2840],{},[1034,3072,1036],{},[1034,3074,3057],{},[592,3076,3077],{"encoding":594},"V(X) = \\frac{1}{0{,}25^2} = 16\\,\\text{min}^2, \\qquad \\sigma = 4\\,\\text{min}",[569,3079,3081,3108,3226,3296],{"className":3080,"ariaHidden":599},[598],[569,3082,3084,3087,3090,3093,3096,3099,3102,3105],{"className":3083},[603],[569,3085],{"className":3086,"style":675},[607],[569,3088,1853],{"className":3089,"style":1314},[612,613],[569,3091,635],{"className":3092},[683],[569,3094,590],{"className":3095,"style":614},[612,613],[569,3097,641],{"className":3098},[690],[569,3100],{"className":3101,"style":695},[694],[569,3103,644],{"className":3104},[699],[569,3106],{"className":3107,"style":695},[694],[569,3109,3111,3115,3217,3220,3223],{"className":3110},[603],[569,3112],{"className":3113,"style":3114},[607],"height:2.2019em;vertical-align:-0.8804em;",[569,3116,3118,3121,3214],{"className":3117},[612],[569,3119],{"className":3120},[683,873],[569,3122,3124],{"className":3123},[838],[569,3125,3127,3205],{"className":3126},[726,880],[569,3128,3130,3202],{"className":3129},[730],[569,3131,3133,3183,3191],{"className":3132,"style":1578},[734],[569,3134,3135,3138],{"style":1581},[569,3136],{"className":3137,"style":894},[741],[569,3139,3141,3144,3150,3153],{"className":3140},[612],[569,3142,783],{"className":3143},[612],[569,3145,3147],{"className":3146},[612],[569,3148,2449],{"className":3149},[2448],[569,3151,1651],{"className":3152},[612],[569,3154,3156,3160],{"className":3155},[612],[569,3157,3159],{"className":3158},[612],"5",[569,3161,3163],{"className":3162},[722],[569,3164,3166],{"className":3165},[726],[569,3167,3169],{"className":3168},[730],[569,3170,3172],{"className":3171,"style":1979},[734],[569,3173,3174,3177],{"style":1982},[569,3175],{"className":3176,"style":742},[741],[569,3178,3180],{"className":3179},[746,747,748,749],[569,3181,1651],{"className":3182},[612,749],[569,3184,3185,3188],{"style":916},[569,3186],{"className":3187,"style":894},[741],[569,3189],{"className":3190,"style":924},[923],[569,3192,3193,3196],{"style":1601},[569,3194],{"className":3195,"style":894},[741],[569,3197,3199],{"className":3198},[612],[569,3200,973],{"className":3201},[612],[569,3203,945],{"className":3204},[944],[569,3206,3208],{"className":3207},[730],[569,3209,3212],{"className":3210,"style":3211},[734],"height:0.8804em;",[569,3213],{},[569,3215],{"className":3216},[690,873],[569,3218],{"className":3219,"style":695},[694],[569,3221,644],{"className":3222},[699],[569,3224],{"className":3225,"style":695},[694],[569,3227,3229,3233,3236,3239,3274,3277,3281,3284,3287,3290,3293],{"className":3228},[603],[569,3230],{"className":3231,"style":3232},[607],"height:1.0663em;vertical-align:-0.1944em;",[569,3234,3050],{"className":3235},[612],[569,3237],{"className":3238,"style":1228},[694],[569,3240,3242,3249],{"className":3241},[612],[569,3243,3246],{"className":3244},[612,3245],"text",[569,3247,3057],{"className":3248},[612],[569,3250,3252],{"className":3251},[722],[569,3253,3255],{"className":3254},[726],[569,3256,3258],{"className":3257},[730],[569,3259,3262],{"className":3260,"style":3261},[734],"height:0.8719em;",[569,3263,3265,3268],{"style":3264},"top:-3.1208em;margin-right:0.05em;",[569,3266],{"className":3267,"style":742},[741],[569,3269,3271],{"className":3270},[746,747,748,749],[569,3272,1651],{"className":3273},[612,749],[569,3275,2449],{"className":3276},[2448],[569,3278],{"className":3279,"style":3280},[694],"margin-right:2em;",[569,3282],{"className":3283,"style":1228},[694],[569,3285,842],{"className":3286,"style":940},[612,613],[569,3288],{"className":3289,"style":695},[694],[569,3291,644],{"className":3292},[699],[569,3294],{"className":3295,"style":695},[694],[569,3297,3299,3303,3306,3309],{"className":3298},[603],[569,3300],{"className":3301,"style":3302},[607],"height:0.6679em;",[569,3304,2840],{"className":3305},[612],[569,3307],{"className":3308,"style":1228},[694],[569,3310,3312],{"className":3311},[612,3245],[569,3313,3057],{"className":3314},[612],[565,3316,3317,3318,3502,3503,988],{},"Länger als die mittlere Zeit dauert ein Kunde mit Wahrscheinlichkeit ",[569,3319,3321,3365],{"className":3320},[572],[569,3322,3324],{"className":3323},[576],[578,3325,3326],{"xmlns":580},[582,3327,3328,3362],{},[585,3329,3330,3345,3347,3357,3359],{},[649,3331,3332,3334],{},[588,3333,653],{},[585,3335,3336,3338,3340,3343],{},[632,3337,658],{},[781,3339,2882],{},[632,3341,3342],{},"⋅",[781,3344,2840],{},[632,3346,644],{},[649,3348,3349,3351],{},[588,3350,653],{},[585,3352,3353,3355],{},[632,3354,658],{},[781,3356,973],{},[632,3358,2285],{},[781,3360,3361],{},"0,3679",[592,3363,3364],{"encoding":594},"e^{-0{,}25 \\cdot 4} = e^{-1} \\approx 0{,}3679",[569,3366,3368,3433,3483],{"className":3367,"ariaHidden":599},[598],[569,3369,3371,3374,3424,3427,3430],{"className":3370},[603],[569,3372],{"className":3373,"style":1703},[607],[569,3375,3377,3380],{"className":3376},[612],[569,3378,653],{"className":3379},[612,613],[569,3381,3383],{"className":3382},[722],[569,3384,3386],{"className":3385},[726],[569,3387,3389],{"className":3388},[730],[569,3390,3392],{"className":3391,"style":1703},[734],[569,3393,3394,3397],{"style":737},[569,3395],{"className":3396,"style":742},[741],[569,3398,3400],{"className":3399},[746,747,748,749],[569,3401,3403,3406,3409,3415,3418,3421],{"className":3402},[612,749],[569,3404,658],{"className":3405},[612,749],[569,3407,783],{"className":3408},[612,749],[569,3410,3412],{"className":3411},[612,749],[569,3413,2449],{"className":3414},[2448,749],[569,3416,3009],{"className":3417},[612,749],[569,3419,3342],{"className":3420},[1318,749],[569,3422,2840],{"className":3423},[612,749],[569,3425],{"className":3426,"style":695},[694],[569,3428,644],{"className":3429},[699],[569,3431],{"className":3432,"style":695},[694],[569,3434,3436,3439,3474,3477,3480],{"className":3435},[603],[569,3437],{"className":3438,"style":1703},[607],[569,3440,3442,3445],{"className":3441},[612],[569,3443,653],{"className":3444},[612,613],[569,3446,3448],{"className":3447},[722],[569,3449,3451],{"className":3450},[726],[569,3452,3454],{"className":3453},[730],[569,3455,3457],{"className":3456,"style":1703},[734],[569,3458,3459,3462],{"style":737},[569,3460],{"className":3461,"style":742},[741],[569,3463,3465],{"className":3464},[746,747,748,749],[569,3466,3468,3471],{"className":3467},[612,749],[569,3469,658],{"className":3470},[612,749],[569,3472,973],{"className":3473},[612,749],[569,3475],{"className":3476,"style":695},[694],[569,3478,2285],{"className":3479},[699],[569,3481],{"className":3482,"style":695},[694],[569,3484,3486,3489,3492,3498],{"className":3485},[603],[569,3487],{"className":3488,"style":2996},[607],[569,3490,783],{"className":3491},[612],[569,3493,3495],{"className":3494},[612],[569,3496,2449],{"className":3497},[2448],[569,3499,3501],{"className":3500},[612],"3679",", kürzer mit ",[569,3504,3506,3537],{"className":3505},[572],[569,3507,3509],{"className":3508},[576],[578,3510,3511],{"xmlns":580},[582,3512,3513,3534],{},[585,3514,3515,3517,3519,3529,3531],{},[781,3516,973],{},[632,3518,658],{},[649,3520,3521,3523],{},[588,3522,653],{},[585,3524,3525,3527],{},[632,3526,658],{},[781,3528,973],{},[632,3530,2285],{},[781,3532,3533],{},"0,6321",[592,3535,3536],{"encoding":594},"1 - e^{-1} \\approx 0{,}6321",[569,3538,3540,3558,3608],{"className":3539,"ariaHidden":599},[598],[569,3541,3543,3546,3549,3552,3555],{"className":3542},[603],[569,3544],{"className":3545,"style":2368},[607],[569,3547,973],{"className":3548},[612],[569,3550],{"className":3551,"style":1314},[694],[569,3553,658],{"className":3554},[1318],[569,3556],{"className":3557,"style":1314},[694],[569,3559,3561,3564,3599,3602,3605],{"className":3560},[603],[569,3562],{"className":3563,"style":1703},[607],[569,3565,3567,3570],{"className":3566},[612],[569,3568,653],{"className":3569},[612,613],[569,3571,3573],{"className":3572},[722],[569,3574,3576],{"className":3575},[726],[569,3577,3579],{"className":3578},[730],[569,3580,3582],{"className":3581,"style":1703},[734],[569,3583,3584,3587],{"style":737},[569,3585],{"className":3586,"style":742},[741],[569,3588,3590],{"className":3589},[746,747,748,749],[569,3591,3593,3596],{"className":3592},[612,749],[569,3594,658],{"className":3595},[612,749],[569,3597,973],{"className":3598},[612,749],[569,3600],{"className":3601,"style":695},[694],[569,3603,2285],{"className":3604},[699],[569,3606],{"className":3607,"style":695},[694],[569,3609,3611,3614,3617,3623],{"className":3610},[603],[569,3612],{"className":3613,"style":2996},[607],[569,3615,783],{"className":3616},[612],[569,3618,3620],{"className":3619},[612],[569,3621,2449],{"className":3622},[2448],[569,3624,3626],{"className":3625},[612],"6321",[565,3628,3629,3630,3670,3671,3803],{},"Fallen Geräte mit einer Rate von ",[569,3631,3633,3648],{"className":3632},[572],[569,3634,3636],{"className":3635},[576],[578,3637,3638],{"xmlns":580},[582,3639,3640,3645],{},[585,3641,3642],{},[781,3643,3644],{},"0,002",[592,3646,3647],{"encoding":594},"0{,}002",[569,3649,3651],{"className":3650,"ariaHidden":599},[598],[569,3652,3654,3657,3660,3666],{"className":3653},[603],[569,3655],{"className":3656,"style":2996},[607],[569,3658,783],{"className":3659},[612],[569,3661,3663],{"className":3662},[612],[569,3664,2449],{"className":3665},[2448],[569,3667,3669],{"className":3668},[612],"002"," pro Stunde aus, ist die mittlere Lebensdauer ",[569,3672,3674,3697],{"className":3673},[572],[569,3675,3677],{"className":3676},[576],[578,3678,3679],{"xmlns":580},[582,3680,3681,3694],{},[585,3682,3683,3689,3691],{},[838,3684,3685,3687],{},[781,3686,973],{},[781,3688,3644],{},[632,3690,644],{},[781,3692,3693],{},"500",[592,3695,3696],{"encoding":594},"\\frac{1}{0{,}002} = 500",[569,3698,3700,3794],{"className":3699,"ariaHidden":599},[598],[569,3701,3703,3707,3785,3788,3791],{"className":3702},[603],[569,3704],{"className":3705,"style":3706},[607],"height:1.3262em;vertical-align:-0.4811em;",[569,3708,3710,3713,3782],{"className":3709},[612],[569,3711],{"className":3712},[683,873],[569,3714,3716],{"className":3715},[838],[569,3717,3719,3773],{"className":3718},[726,880],[569,3720,3722,3770],{"className":3721},[730],[569,3723,3725,3748,3756],{"className":3724,"style":1752},[734],[569,3726,3727,3730],{"style":890},[569,3728],{"className":3729,"style":894},[741],[569,3731,3733],{"className":3732},[746,747,748,749],[569,3734,3736,3739,3745],{"className":3735},[612,749],[569,3737,783],{"className":3738},[612,749],[569,3740,3742],{"className":3741},[612,749],[569,3743,2449],{"className":3744},[2448,749],[569,3746,3669],{"className":3747},[612,749],[569,3749,3750,3753],{"style":916},[569,3751],{"className":3752,"style":894},[741],[569,3754],{"className":3755,"style":924},[923],[569,3757,3758,3761],{"style":927},[569,3759],{"className":3760,"style":894},[741],[569,3762,3764],{"className":3763},[746,747,748,749],[569,3765,3767],{"className":3766},[612,749],[569,3768,973],{"className":3769},[612,749],[569,3771,945],{"className":3772},[944],[569,3774,3776],{"className":3775},[730],[569,3777,3780],{"className":3778,"style":3779},[734],"height:0.4811em;",[569,3781],{},[569,3783],{"className":3784},[690,873],[569,3786],{"className":3787,"style":695},[694],[569,3789,644],{"className":3790},[699],[569,3792],{"className":3793,"style":695},[694],[569,3795,3797,3800],{"className":3796},[603],[569,3798],{"className":3799,"style":815},[607],[569,3801,3693],{"className":3802},[612]," Stunden.",[560,3805,3807],{"id":3806},"typische-fehler","Typische Fehler",[3809,3810,3811,4008,4335],"ul",{},[3812,3813,3814,3880,3881,3909,3910,988],"li",{},[569,3815,3817,3841],{"className":3816},[572],[569,3818,3820],{"className":3819},[576],[578,3821,3822],{"xmlns":580},[582,3823,3824,3838],{},[585,3825,3826,3828,3830,3832,3834,3836],{},[588,3827,847],{},[632,3829,635],{"stretchy":634},[588,3831,590],{},[632,3833,641],{"stretchy":634},[632,3835,644],{},[588,3837,647],{},[592,3839,3840],{"encoding":594},"E(X) = \\lambda",[569,3842,3844,3871],{"className":3843,"ariaHidden":599},[598],[569,3845,3847,3850,3853,3856,3859,3862,3865,3868],{"className":3846},[603],[569,3848],{"className":3849,"style":675},[607],[569,3851,847],{"className":3852,"style":904},[612,613],[569,3854,635],{"className":3855},[683],[569,3857,590],{"className":3858,"style":614},[612,613],[569,3860,641],{"className":3861},[690],[569,3863],{"className":3864,"style":695},[694],[569,3866,644],{"className":3867},[699],[569,3869],{"className":3870,"style":695},[694],[569,3872,3874,3877],{"className":3873},[603],[569,3875],{"className":3876,"style":2486},[607],[569,3878,647],{"className":3879},[612,613]," wie bei der Poisson-Verteilung ansetzen. Bei der Exponentialverteilung ist ",[569,3882,3884,3897],{"className":3883},[572],[569,3885,3887],{"className":3886},[576],[578,3888,3889],{"xmlns":580},[582,3890,3891,3895],{},[585,3892,3893],{},[588,3894,647],{},[592,3896,2476],{"encoding":594},[569,3898,3900],{"className":3899,"ariaHidden":599},[598],[569,3901,3903,3906],{"className":3902},[603],[569,3904],{"className":3905,"style":2486},[607],[569,3907,647],{"className":3908},[612,613]," die Rate, die mittlere Wartezeit ist ",[569,3911,3913,3931],{"className":3912},[572],[569,3914,3916],{"className":3915},[576],[578,3917,3918],{"xmlns":580},[582,3919,3920,3928],{},[585,3921,3922],{},[838,3923,3924,3926],{},[781,3925,973],{},[588,3927,647],{},[592,3929,3930],{"encoding":594},"\\frac{1}{\\lambda}",[569,3932,3934],{"className":3933,"ariaHidden":599},[598],[569,3935,3937,3940],{"className":3936},[603],[569,3938],{"className":3939,"style":1733},[607],[569,3941,3943,3946,4005],{"className":3942},[612],[569,3944],{"className":3945},[683,873],[569,3947,3949],{"className":3948},[838],[569,3950,3952,3997],{"className":3951},[726,880],[569,3953,3955,3994],{"className":3954},[730],[569,3956,3958,3972,3980],{"className":3957,"style":1752},[734],[569,3959,3960,3963],{"style":890},[569,3961],{"className":3962,"style":894},[741],[569,3964,3966],{"className":3965},[746,747,748,749],[569,3967,3969],{"className":3968},[612,749],[569,3970,647],{"className":3971},[612,613,749],[569,3973,3974,3977],{"style":916},[569,3975],{"className":3976,"style":894},[741],[569,3978],{"className":3979,"style":924},[923],[569,3981,3982,3985],{"style":927},[569,3983],{"className":3984,"style":894},[741],[569,3986,3988],{"className":3987},[746,747,748,749],[569,3989,3991],{"className":3990},[612,749],[569,3992,973],{"className":3993},[612,749],[569,3995,945],{"className":3996},[944],[569,3998,4000],{"className":3999},[730],[569,4001,4003],{"className":4002,"style":1829},[734],[569,4004],{},[569,4006],{"className":4007},[690,873],[3812,4009,4010,4011,4108,4109,4237,4238,988],{},"Die Varianz als ",[569,4012,4014,4031],{"className":4013},[572],[569,4015,4017],{"className":4016},[576],[578,4018,4019],{"xmlns":580},[582,4020,4021,4029],{},[585,4022,4023],{},[838,4024,4025,4027],{},[781,4026,973],{},[588,4028,647],{},[592,4030,3930],{"encoding":594},[569,4032,4034],{"className":4033,"ariaHidden":599},[598],[569,4035,4037,4040],{"className":4036},[603],[569,4038],{"className":4039,"style":1733},[607],[569,4041,4043,4046,4105],{"className":4042},[612],[569,4044],{"className":4045},[683,873],[569,4047,4049],{"className":4048},[838],[569,4050,4052,4097],{"className":4051},[726,880],[569,4053,4055,4094],{"className":4054},[730],[569,4056,4058,4072,4080],{"className":4057,"style":1752},[734],[569,4059,4060,4063],{"style":890},[569,4061],{"className":4062,"style":894},[741],[569,4064,4066],{"className":4065},[746,747,748,749],[569,4067,4069],{"className":4068},[612,749],[569,4070,647],{"className":4071},[612,613,749],[569,4073,4074,4077],{"style":916},[569,4075],{"className":4076,"style":894},[741],[569,4078],{"className":4079,"style":924},[923],[569,4081,4082,4085],{"style":927},[569,4083],{"className":4084,"style":894},[741],[569,4086,4088],{"className":4087},[746,747,748,749],[569,4089,4091],{"className":4090},[612,749],[569,4092,973],{"className":4093},[612,749],[569,4095,945],{"className":4096},[944],[569,4098,4100],{"className":4099},[730],[569,4101,4103],{"className":4102,"style":1829},[734],[569,4104],{},[569,4106],{"className":4107},[690,873]," angeben. Die Varianz ist ",[569,4110,4112,4134],{"className":4111},[572],[569,4113,4115],{"className":4114},[576],[578,4116,4117],{"xmlns":580},[582,4118,4119,4131],{},[585,4120,4121],{},[838,4122,4123,4125],{},[781,4124,973],{},[649,4126,4127,4129],{},[588,4128,647],{},[781,4130,1651],{},[592,4132,4133],{"encoding":594},"\\frac{1}{\\lambda^2}",[569,4135,4137],{"className":4136,"ariaHidden":599},[598],[569,4138,4140,4143],{"className":4139},[603],[569,4141],{"className":4142,"style":1733},[607],[569,4144,4146,4149,4234],{"className":4145},[612],[569,4147],{"className":4148},[683,873],[569,4150,4152],{"className":4151},[838],[569,4153,4155,4226],{"className":4154},[726,880],[569,4156,4158,4223],{"className":4157},[730],[569,4159,4161,4201,4209],{"className":4160,"style":1752},[734],[569,4162,4163,4166],{"style":890},[569,4164],{"className":4165,"style":894},[741],[569,4167,4169],{"className":4168},[746,747,748,749],[569,4170,4172],{"className":4171},[612,749],[569,4173,4175,4178],{"className":4174},[612,749],[569,4176,647],{"className":4177},[612,613,749],[569,4179,4181],{"className":4180},[722],[569,4182,4184],{"className":4183},[726],[569,4185,4187],{"className":4186},[730],[569,4188,4190],{"className":4189,"style":1782},[734],[569,4191,4192,4195],{"style":1785},[569,4193],{"className":4194,"style":1789},[741],[569,4196,4198],{"className":4197},[746,1793,1794,749],[569,4199,1651],{"className":4200},[612,749],[569,4202,4203,4206],{"style":916},[569,4204],{"className":4205,"style":894},[741],[569,4207],{"className":4208,"style":924},[923],[569,4210,4211,4214],{"style":927},[569,4212],{"className":4213,"style":894},[741],[569,4215,4217],{"className":4216},[746,747,748,749],[569,4218,4220],{"className":4219},[612,749],[569,4221,973],{"className":4222},[612,749],[569,4224,945],{"className":4225},[944],[569,4227,4229],{"className":4228},[730],[569,4230,4232],{"className":4231,"style":1829},[734],[569,4233],{},[569,4235],{"className":4236},[690,873],", die Standardabweichung ",[569,4239,4241,4258],{"className":4240},[572],[569,4242,4244],{"className":4243},[576],[578,4245,4246],{"xmlns":580},[582,4247,4248,4256],{},[585,4249,4250],{},[838,4251,4252,4254],{},[781,4253,973],{},[588,4255,647],{},[592,4257,3930],{"encoding":594},[569,4259,4261],{"className":4260,"ariaHidden":599},[598],[569,4262,4264,4267],{"className":4263},[603],[569,4265],{"className":4266,"style":1733},[607],[569,4268,4270,4273,4332],{"className":4269},[612],[569,4271],{"className":4272},[683,873],[569,4274,4276],{"className":4275},[838],[569,4277,4279,4324],{"className":4278},[726,880],[569,4280,4282,4321],{"className":4281},[730],[569,4283,4285,4299,4307],{"className":4284,"style":1752},[734],[569,4286,4287,4290],{"style":890},[569,4288],{"className":4289,"style":894},[741],[569,4291,4293],{"className":4292},[746,747,748,749],[569,4294,4296],{"className":4295},[612,749],[569,4297,647],{"className":4298},[612,613,749],[569,4300,4301,4304],{"style":916},[569,4302],{"className":4303,"style":894},[741],[569,4305],{"className":4306,"style":924},[923],[569,4308,4309,4312],{"style":927},[569,4310],{"className":4311,"style":894},[741],[569,4313,4315],{"className":4314},[746,747,748,749],[569,4316,4318],{"className":4317},[612,749],[569,4319,973],{"className":4320},[612,749],[569,4322,945],{"className":4323},[944],[569,4325,4327],{"className":4326},[730],[569,4328,4330],{"className":4329,"style":1829},[734],[569,4331],{},[569,4333],{"className":4334},[690,873],[3812,4336,4337,4338,4461,4462,988],{},"Annehmen, die Hälfte der Werte liege unter dem Erwartungswert. Das gilt für den Median ",[569,4339,4341,4367],{"className":4340},[572],[569,4342,4344],{"className":4343},[576],[578,4345,4346],{"xmlns":580},[582,4347,4348,4364],{},[585,4349,4350],{},[838,4351,4352,4362],{},[585,4353,4354,4357,4360],{},[588,4355,4356],{},"ln",[632,4358,4359],{},"⁡",[781,4361,1651],{},[588,4363,647],{},[592,4365,4366],{"encoding":594},"\\frac{\\ln 2}{\\lambda}",[569,4368,4370],{"className":4369,"ariaHidden":599},[598],[569,4371,4373,4377],{"className":4372},[603],[569,4374],{"className":4375,"style":4376},[607],"height:1.2251em;vertical-align:-0.345em;",[569,4378,4380,4383,4458],{"className":4379},[612],[569,4381],{"className":4382},[683,873],[569,4384,4386],{"className":4385},[838],[569,4387,4389,4450],{"className":4388},[726,880],[569,4390,4392,4447],{"className":4391},[730],[569,4393,4396,4410,4418],{"className":4394,"style":4395},[734],"height:0.8801em;",[569,4397,4398,4401],{"style":890},[569,4399],{"className":4400,"style":894},[741],[569,4402,4404],{"className":4403},[746,747,748,749],[569,4405,4407],{"className":4406},[612,749],[569,4408,647],{"className":4409},[612,613,749],[569,4411,4412,4415],{"style":916},[569,4413],{"className":4414,"style":894},[741],[569,4416],{"className":4417,"style":924},[923],[569,4419,4420,4423],{"style":927},[569,4421],{"className":4422,"style":894},[741],[569,4424,4426],{"className":4425},[746,747,748,749],[569,4427,4429,4440,4444],{"className":4428},[612,749],[569,4430,4432,4436],{"className":4431},[1169,749],[569,4433,4435],{"className":4434},[749],"l",[569,4437,4439],{"className":4438},[749],"n",[569,4441],{"className":4442,"style":4443},[694,749],"margin-right:0.1952em;",[569,4445,1651],{"className":4446},[612,749],[569,4448,945],{"className":4449},[944],[569,4451,4453],{"className":4452},[730],[569,4454,4456],{"className":4455,"style":1829},[734],[569,4457],{},[569,4459],{"className":4460},[690,873],", nicht für ",[569,4463,4465,4485],{"className":4464},[572],[569,4466,4468],{"className":4467},[576],[578,4469,4470],{"xmlns":580},[582,4471,4472,4482],{},[585,4473,4474,4476,4478,4480],{},[588,4475,847],{},[632,4477,635],{"stretchy":634},[588,4479,590],{},[632,4481,641],{"stretchy":634},[592,4483,4484],{"encoding":594},"E(X)",[569,4486,4488],{"className":4487,"ariaHidden":599},[598],[569,4489,4491,4494,4497,4500,4503],{"className":4490},[603],[569,4492],{"className":4493,"style":675},[607],[569,4495,847],{"className":4496,"style":904},[612,613],[569,4498,635],{"className":4499},[683],[569,4501,590],{"className":4502,"style":614},[612,613],[569,4504,641],{"className":4505},[690],{"title":4507,"searchDepth":4508,"depth":4508,"links":4509},"",2,[4510,4511,4512],{"id":562,"depth":4508,"text":563},{"id":2492,"depth":4508,"text":2493},{"id":3806,"depth":4508,"text":3807},[4514,4516,4518,4521,4524,4526,4529,4532],{"lhs":4515,"rhs":973},"round(sum(map(0:999, f(k) = (k + 0.5)\u002F1000*40 * exp(-(k + 0.5)\u002F1000*40))) * 40\u002F1000, 3)",{"lhs":4517,"rhs":1651},"round(sum(map(0:999, f(k) = ((k + 0.5)\u002F1000*40)^2 * exp(-(k + 0.5)\u002F1000*40))) * 40\u002F1000, 3)",{"lhs":4519,"rhs":4520},"2\u002Fl^2 - (1\u002Fl)^2","1\u002Fl^2",{"lhs":4522,"rhs":4523},"1 \u002F 4","0.25",{"lhs":4525,"rhs":3050},"1 \u002F 0.25^2",{"lhs":4527,"rhs":4528},"round(exp(-0.25 * 4), 4)","0.3679",{"lhs":4530,"rhs":4531},"round(1 - exp(-1), 4)","0.6321",{"lhs":4533,"rhs":3693},"1 \u002F 0.002","X \\text{ exponentialverteilt mit Rate } \\lambda > 0","\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:0.6833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">X\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">exponentialverteilt mit Rate\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","exponential-mean-variance","E(X) = \\frac{1}{\\lambda}, \\qquad V(X) = \\frac{1}{\\lambda^2}, \\qquad \\sigma = \\frac{1}{\\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>\u003Cmfrac>\u003Cmn>1\u003C\u002Fmn>\u003Cmi>λ\u003C\u002Fmi>\u003C\u002Fmfrac>\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>\u003Cmfrac>\u003Cmn>1\u003C\u002Fmn>\u003Cmsup>\u003Cmi>λ\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003C\u002Fmfrac>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmspace width=\"2em\"\u002F>\u003Cmi>σ\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmfrac>\u003Cmn>1\u003C\u002Fmn>\u003Cmi>λ\u003C\u002Fmi>\u003C\u002Fmfrac>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">E(X) = \\frac{1}{\\lambda}, \\qquad V(X) = \\frac{1}{\\lambda^2}, \\qquad \\sigma = \\frac{1}{\\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:2.0074em;vertical-align:-0.686em;\">\u003C\u002Fspan>\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:1.3214em;\">\u003Cspan style=\"top:-2.314em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">λ\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:-3.677em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">1\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:0.686em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\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:2.0074em;vertical-align:-0.686em;\">\u003C\u002Fspan>\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:1.3214em;\">\u003Cspan style=\"top:-2.314em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">λ\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.7401em;\">\u003Cspan style=\"top:-2.989em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\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:-3.677em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">1\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:0.686em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\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:2.0074em;vertical-align:-0.686em;\">\u003C\u002Fspan>\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:1.3214em;\">\u003Cspan style=\"top:-2.314em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">λ\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:-3.677em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">1\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:0.686em;\">\u003Cspan>\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>","university",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Fstochastics\u002Ferwartungswert-und-varianz-exponentialverteilung",[],[4547,4548,4549,4550],"exponential-distribution","expected-value-continuous","integration-by-parts","poisson-mean-variance",{"title":548,"description":4507},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Ferwartungswert-und-varianz-exponentialverteilung","Bei der Exponentialverteilung mit Rate λ sind Erwartungswert und Standardabweichung beide 1\u002Fλ, die Varianz ist 1\u002Fλ².",[4555,4556,4557,4558,4559],"exponentialverteilung","erwartungswert","varianz","wartezeit","stetige verteilung",[4561,4564,4567,4571,4575],{"symbol":590,"meaning":4562,"symbolHtml":4563},"exponentialverteilte Zufallsgröße, z.B. Wartezeit oder Lebensdauer","\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:0.6833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">X\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":4484,"meaning":4565,"symbolHtml":4566},"Erwartungswert, die mittlere Wartezeit","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>E\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>X\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">E(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:0.0576em;\">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>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":4568,"meaning":4569,"symbolHtml":4570},"V(X)","Varianz, auch Var(X) geschrieben","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>V\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>X\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">V(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:0.2222em;\">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>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":4572,"meaning":4573,"symbolHtml":4574},"\\sigma","Standardabweichung","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>σ\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\sigma\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\" style=\"margin-right:0.0359em;\">σ\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":2476,"meaning":4576,"symbolHtml":4577},"Rate, mittlere Anzahl Ereignisse pro Zeiteinheit","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>λ\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\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:0.6944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">λ\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","01blaffvfU9g1a1IsDExfHL-SnqcWUeY0p81qkBqnFw",[4580,4583,4586,4589],{"stem":4581,"title":4582,"category":101},"de\u002Fformulas\u002Fmath\u002Fcalculus\u002Fpartielle-integration","Partielle Integration",{"stem":4584,"title":4585,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Ferwartungswert-stetige-zufallsgroesse","Erwartungswert einer stetigen Zufallsgröße",{"stem":4587,"title":4588,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Ferwartungswert-und-varianz-poisson-verteilung","Erwartungswert und Varianz der Poisson-Verteilung",{"stem":4590,"title":4591,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fexponentialverteilung","Exponentialverteilung",1793824285248]