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",[589,1167,1169,1189],{"className":1168},[592],[589,1170,1172],{"className":1171},[596],[598,1173,1174],{"xmlns":600},[602,1175,1176,1186],{},[605,1177,1178,1180,1183],{},[608,1179,565],{},[652,1181,1182],{},"≤",[937,1184,1185],{},"0,1",[612,1187,1188],{"encoding":614},"p \\leq 0{,}1",[589,1190,1192,1211],{"className":1191,"ariaHidden":620},[619],[589,1193,1195,1199,1202,1205,1208],{"className":1194},[624],[589,1196],{"className":1197,"style":1198},[628],"height:0.8304em;vertical-align:-0.1944em;",[589,1200,565],{"className":1201},[633,634],[589,1203],{"className":1204,"style":817},[816],[589,1206,1182],{"className":1207},[821],[589,1209],{"className":1210,"style":817},[816],[589,1212,1214,1218,1221,1229],{"className":1213},[624],[589,1215],{"className":1216,"style":1217},[628],"height:0.8389em;vertical-align:-0.1944em;",[589,1219,939],{"className":1220},[633],[589,1222,1224],{"className":1223},[633],[589,1225,1228],{"className":1226},[1227],"mpunct",",",[589,1230,1232],{"className":1231},[633],"1",").",[565,1235,1236,1237,1515],{},"Für die Rechnung ist die Rekursion praktisch: ",[589,1238,1240,1300],{"className":1239},[592],[589,1241,1243],{"className":1242},[596],[598,1244,1245],{"xmlns":600},[602,1246,1247,1297],{},[605,1248,1249,1252,1254,1256,1258,1261,1264,1266,1268,1270,1272,1274,1276,1278,1280,1282,1284],{},[608,1250,1251],{},"P",[652,1253,655],{"stretchy":654},[608,1255,658],{},[652,1257,775],{},[608,1259,1260],{},"k",[652,1262,1263],{},"+",[937,1265,1232],{},[652,1267,661],{"stretchy":654},[652,1269,775],{},[608,1271,1251],{},[652,1273,655],{"stretchy":654},[608,1275,658],{},[652,1277,775],{},[608,1279,1260],{},[652,1281,661],{"stretchy":654},[652,1283,992],{},[1285,1286,1287,1289],"mfrac",{},[608,1288,610],{},[605,1290,1291,1293,1295],{},[608,1292,1260],{},[652,1294,1263],{},[937,1296,1232],{},[612,1298,1299],{"encoding":614},"P(X = k+1) = P(X = k) \\cdot \\frac{\\lambda}{k+1}",[589,1301,1303,1328,1348,1369,1393,1414],{"className":1302,"ariaHidden":620},[619],[589,1304,1306,1309,1313,1316,1319,1322,1325],{"className":1305},[624],[589,1307],{"className":1308,"style":674},[628],[589,1310,1251],{"className":1311,"style":1312},[633,634],"margin-right:0.1389em;",[589,1314,655],{"className":1315},[682],[589,1317,658],{"className":1318,"style":686},[633,634],[589,1320],{"className":1321,"style":817},[816],[589,1323,775],{"className":1324},[821],[589,1326],{"className":1327,"style":817},[816],[589,1329,1331,1335,1339,1342,1345],{"className":1330},[624],[589,1332],{"className":1333,"style":1334},[628],"height:0.7778em;vertical-align:-0.0833em;",[589,1336,1260],{"className":1337,"style":1338},[633,634],"margin-right:0.0315em;",[589,1340],{"className":1341,"style":678},[816],[589,1343,1263],{"className":1344},[1021],[589,1346],{"className":1347,"style":678},[816],[589,1349,1351,1354,1357,1360,1363,1366],{"className":1350},[624],[589,1352],{"className":1353,"style":674},[628],[589,1355,1232],{"className":1356},[633],[589,1358,661],{"className":1359},[690],[589,1361],{"className":1362,"style":817},[816],[589,1364,775],{"className":1365},[821],[589,1367],{"className":1368,"style":817},[816],[589,1370,1372,1375,1378,1381,1384,1387,1390],{"className":1371},[624],[589,1373],{"className":1374,"style":674},[628],[589,1376,1251],{"className":1377,"style":1312},[633,634],[589,1379,655],{"className":1380},[682],[589,1382,658],{"className":1383,"style":686},[633,634],[589,1385],{"className":1386,"style":817},[816],[589,1388,775],{"className":1389},[821],[589,1391],{"className":1392,"style":817},[816],[589,1394,1396,1399,1402,1405,1408,1411],{"className":1395},[624],[589,1397],{"className":1398,"style":674},[628],[589,1400,1260],{"className":1401,"style":1338},[633,634],[589,1403,661],{"className":1404},[690],[589,1406],{"className":1407,"style":678},[816],[589,1409,992],{"className":1410},[1021],[589,1412],{"className":1413,"style":678},[816],[589,1415,1417,1421],{"className":1416},[624],[589,1418],{"className":1419,"style":1420},[628],"height:1.2834em;vertical-align:-0.4033em;",[589,1422,1424,1428,1512],{"className":1423},[633],[589,1425],{"className":1426},[682,1427],"nulldelimiter",[589,1429,1431],{"className":1430},[1285],[589,1432,1436,1503],{"className":1433},[1434,1435],"vlist-t","vlist-t2",[589,1437,1440,1498],{"className":1438},[1439],"vlist-r",[589,1441,1445,1472,1483],{"className":1442,"style":1444},[1443],"vlist","height:0.8801em;",[589,1446,1448,1453],{"style":1447},"top:-2.655em;",[589,1449],{"className":1450,"style":1452},[1451],"pstrut","height:3em;",[589,1454,1460],{"className":1455},[1456,1457,1458,1459],"sizing","reset-size6","size3","mtight",[589,1461,1463,1466,1469],{"className":1462},[633,1459],[589,1464,1260],{"className":1465,"style":1338},[633,634,1459],[589,1467,1263],{"className":1468},[1021,1459],[589,1470,1232],{"className":1471},[633,1459],[589,1473,1475,1478],{"style":1474},"top:-3.23em;",[589,1476],{"className":1477,"style":1452},[1451],[589,1479],{"className":1480,"style":1482},[1481],"frac-line","border-bottom-width:0.04em;",[589,1484,1486,1489],{"style":1485},"top:-3.394em;",[589,1487],{"className":1488,"style":1452},[1451],[589,1490,1492],{"className":1491},[1456,1457,1458,1459],[589,1493,1495],{"className":1494},[633,1459],[589,1496,610],{"className":1497},[633,634,1459],[589,1499,1502],{"className":1500},[1501],"vlist-s","​",[589,1504,1506],{"className":1505},[1439],[589,1507,1510],{"className":1508,"style":1509},[1443],"height:0.4033em;",[589,1511],{},[589,1513],{"className":1514},[690,1427],".",[560,1517,1519],{"id":1518},"beispiele","Beispiele",[565,1521,1522,1523,1552,1553,1604,1605,1634],{},"Bei einer Hotline gehen im Mittel ",[589,1524,1526,1540],{"className":1525},[592],[589,1527,1529],{"className":1528},[596],[598,1530,1531],{"xmlns":600},[602,1532,1533,1538],{},[605,1534,1535],{},[937,1536,1537],{},"3",[612,1539,1537],{"encoding":614},[589,1541,1543],{"className":1542,"ariaHidden":620},[619],[589,1544,1546,1549],{"className":1545},[624],[589,1547],{"className":1548,"style":971},[628],[589,1550,1537],{"className":1551},[633]," Anrufe pro Minute ein, ",[589,1554,1556,1574],{"className":1555},[592],[589,1557,1559],{"className":1558},[596],[598,1560,1561],{"xmlns":600},[602,1562,1563,1571],{},[605,1564,1565,1567,1569],{},[608,1566,610],{},[652,1568,775],{},[937,1570,1537],{},[612,1572,1573],{"encoding":614},"\\lambda = 3",[589,1575,1577,1595],{"className":1576,"ariaHidden":620},[619],[589,1578,1580,1583,1586,1589,1592],{"className":1579},[624],[589,1581],{"className":1582,"style":629},[628],[589,1584,610],{"className":1585},[633,634],[589,1587],{"className":1588,"style":817},[816],[589,1590,775],{"className":1591},[821],[589,1593],{"className":1594,"style":817},[816],[589,1596,1598,1601],{"className":1597},[624],[589,1599],{"className":1600,"style":971},[628],[589,1602,1537],{"className":1603},[633],". Genau ",[589,1606,1608,1622],{"className":1607},[592],[589,1609,1611],{"className":1610},[596],[598,1612,1613],{"xmlns":600},[602,1614,1615,1620],{},[605,1616,1617],{},[937,1618,1619],{},"2",[612,1621,1619],{"encoding":614},[589,1623,1625],{"className":1624,"ariaHidden":620},[619],[589,1626,1628,1631],{"className":1627},[624],[589,1629],{"className":1630,"style":971},[628],[589,1632,1619],{"className":1633},[633]," Anrufe in einer Minute:",[589,1636,1638],{"className":1637},[750],[589,1639,1641,1722],{"className":1640},[592],[589,1642,1644],{"className":1643},[596],[598,1645,1646],{"xmlns":600,"display":759},[602,1647,1648,1719],{},[605,1649,1650,1652,1654,1656,1658,1660,1662,1664,1680,1684,1696,1698,1701,1703,1713,1716],{},[608,1651,1251],{},[652,1653,655],{"stretchy":654},[608,1655,658],{},[652,1657,775],{},[937,1659,1619],{},[652,1661,661],{"stretchy":654},[652,1663,775],{},[1285,1665,1666,1673],{},[1667,1668,1669,1671],"msup",{},[937,1670,1537],{},[937,1672,1619],{},[605,1674,1675,1677],{},[937,1676,1619],{},[652,1678,1679],{"stretchy":654},"!",[1681,1682,1683],"mtext",{}," ",[1667,1685,1686,1689],{},[608,1687,1688],{},"e",[605,1690,1691,1694],{},[652,1692,1693],{},"−",[937,1695,1537],{},[652,1697,775],{},[937,1699,1700],{},"4,5",[652,1702,992],{},[1667,1704,1705,1707],{},[608,1706,1688],{},[605,1708,1709,1711],{},[652,1710,1693],{},[937,1712,1537],{},[652,1714,1715],{},"≈",[937,1717,1718],{},"0,2240",[612,1720,1721],{"encoding":614},"P(X = 2) = \\frac{3^2}{2!} \\, e^{-3} = 4{,}5 \\cdot e^{-3} \\approx 0{,}2240",[589,1723,1725,1749,1770,1926,1955,2005],{"className":1724,"ariaHidden":620},[619],[589,1726,1728,1731,1734,1737,1740,1743,1746],{"className":1727},[624],[589,1729],{"className":1730,"style":674},[628],[589,1732,1251],{"className":1733,"style":1312},[633,634],[589,1735,655],{"className":1736},[682],[589,1738,658],{"className":1739,"style":686},[633,634],[589,1741],{"className":1742,"style":817},[816],[589,1744,775],{"className":1745},[821],[589,1747],{"className":1748,"style":817},[816],[589,1750,1752,1755,1758,1761,1764,1767],{"className":1751},[624],[589,1753],{"className":1754,"style":674},[628],[589,1756,1619],{"className":1757},[633],[589,1759,661],{"className":1760},[690],[589,1762],{"className":1763,"style":817},[816],[589,1765,775],{"className":1766},[821],[589,1768],{"className":1769,"style":817},[816],[589,1771,1773,1777,1876,1880,1917,1920,1923],{"className":1772},[624],[589,1774],{"className":1775,"style":1776},[628],"height:2.1771em;vertical-align:-0.686em;",[589,1778,1780,1783,1873],{"className":1779},[633],[589,1781],{"className":1782},[682,1427],[589,1784,1786],{"className":1785},[1285],[589,1787,1789,1864],{"className":1788},[1434,1435],[589,1790,1792,1861],{"className":1791},[1439],[589,1793,1796,1811,1819],{"className":1794,"style":1795},[1443],"height:1.4911em;",[589,1797,1799,1802],{"style":1798},"top:-2.314em;",[589,1800],{"className":1801,"style":1452},[1451],[589,1803,1805,1808],{"className":1804},[633],[589,1806,1619],{"className":1807},[633],[589,1809,1679],{"className":1810},[690],[589,1812,1813,1816],{"style":1474},[589,1814],{"className":1815,"style":1452},[1451],[589,1817],{"className":1818,"style":1482},[1481],[589,1820,1822,1825],{"style":1821},"top:-3.677em;",[589,1823],{"className":1824,"style":1452},[1451],[589,1826,1828],{"className":1827},[633],[589,1829,1831,1834],{"className":1830},[633],[589,1832,1537],{"className":1833},[633],[589,1835,1838],{"className":1836},[1837],"msupsub",[589,1839,1841],{"className":1840},[1434],[589,1842,1844],{"className":1843},[1439],[589,1845,1848],{"className":1846,"style":1847},[1443],"height:0.8141em;",[589,1849,1851,1855],{"style":1850},"top:-3.063em;margin-right:0.05em;",[589,1852],{"className":1853,"style":1854},[1451],"height:2.7em;",[589,1856,1858],{"className":1857},[1456,1457,1458,1459],[589,1859,1619],{"className":1860},[633,1459],[589,1862,1502],{"className":1863},[1501],[589,1865,1867],{"className":1866},[1439],[589,1868,1871],{"className":1869,"style":1870},[1443],"height:0.686em;",[589,1872],{},[589,1874],{"className":1875},[690,1427],[589,1877],{"className":1878,"style":1879},[816],"margin-right:0.1667em;",[589,1881,1883,1886],{"className":1882},[633],[589,1884,1688],{"className":1885},[633,634],[589,1887,1889],{"className":1888},[1837],[589,1890,1892],{"className":1891},[1434],[589,1893,1895],{"className":1894},[1439],[589,1896,1899],{"className":1897,"style":1898},[1443],"height:0.8641em;",[589,1900,1902,1905],{"style":1901},"top:-3.113em;margin-right:0.05em;",[589,1903],{"className":1904,"style":1854},[1451],[589,1906,1908],{"className":1907},[1456,1457,1458,1459],[589,1909,1911,1914],{"className":1910},[633,1459],[589,1912,1693],{"className":1913},[633,1459],[589,1915,1537],{"className":1916},[633,1459],[589,1918],{"className":1919,"style":817},[816],[589,1921,775],{"className":1922},[821],[589,1924],{"className":1925,"style":817},[816],[589,1927,1929,1932,1936,1942,1946,1949,1952],{"className":1928},[624],[589,1930],{"className":1931,"style":1217},[628],[589,1933,1935],{"className":1934},[633],"4",[589,1937,1939],{"className":1938},[633],[589,1940,1228],{"className":1941},[1227],[589,1943,1945],{"className":1944},[633],"5",[589,1947],{"className":1948,"style":678},[816],[589,1950,992],{"className":1951},[1021],[589,1953],{"className":1954,"style":678},[816],[589,1956,1958,1961,1996,1999,2002],{"className":1957},[624],[589,1959],{"className":1960,"style":1898},[628],[589,1962,1964,1967],{"className":1963},[633],[589,1965,1688],{"className":1966},[633,634],[589,1968,1970],{"className":1969},[1837],[589,1971,1973],{"className":1972},[1434],[589,1974,1976],{"className":1975},[1439],[589,1977,1979],{"className":1978,"style":1898},[1443],[589,1980,1981,1984],{"style":1901},[589,1982],{"className":1983,"style":1854},[1451],[589,1985,1987],{"className":1986},[1456,1457,1458,1459],[589,1988,1990,1993],{"className":1989},[633,1459],[589,1991,1693],{"className":1992},[633,1459],[589,1994,1537],{"className":1995},[633,1459],[589,1997],{"className":1998,"style":817},[816],[589,2000,1715],{"className":2001},[821],[589,2003],{"className":2004,"style":817},[816],[589,2006,2008,2011,2014,2020],{"className":2007},[624],[589,2009],{"className":2010,"style":1217},[628],[589,2012,939],{"className":2013},[633],[589,2015,2017],{"className":2016},[633],[589,2018,1228],{"className":2019},[1227],[589,2021,2023],{"className":2022},[633],"2240",[565,2025,2026,2027,2188,2189,2217],{},"Kein Anruf: ",[589,2028,2030,2071],{"className":2029},[592],[589,2031,2033],{"className":2032},[596],[598,2034,2035],{"xmlns":600},[602,2036,2037,2068],{},[605,2038,2039,2041,2043,2045,2047,2049,2051,2053,2063,2065],{},[608,2040,1251],{},[652,2042,655],{"stretchy":654},[608,2044,658],{},[652,2046,775],{},[937,2048,939],{},[652,2050,661],{"stretchy":654},[652,2052,775],{},[1667,2054,2055,2057],{},[608,2056,1688],{},[605,2058,2059,2061],{},[652,2060,1693],{},[937,2062,1537],{},[652,2064,1715],{},[937,2066,2067],{},"0,0498",[612,2069,2070],{"encoding":614},"P(X = 0) = e^{-3} \\approx 0{,}0498",[589,2072,2074,2098,2119,2169],{"className":2073,"ariaHidden":620},[619],[589,2075,2077,2080,2083,2086,2089,2092,2095],{"className":2076},[624],[589,2078],{"className":2079,"style":674},[628],[589,2081,1251],{"className":2082,"style":1312},[633,634],[589,2084,655],{"className":2085},[682],[589,2087,658],{"className":2088,"style":686},[633,634],[589,2090],{"className":2091,"style":817},[816],[589,2093,775],{"className":2094},[821],[589,2096],{"className":2097,"style":817},[816],[589,2099,2101,2104,2107,2110,2113,2116],{"className":2100},[624],[589,2102],{"className":2103,"style":674},[628],[589,2105,939],{"className":2106},[633],[589,2108,661],{"className":2109},[690],[589,2111],{"className":2112,"style":817},[816],[589,2114,775],{"className":2115},[821],[589,2117],{"className":2118,"style":817},[816],[589,2120,2122,2125,2160,2163,2166],{"className":2121},[624],[589,2123],{"className":2124,"style":1847},[628],[589,2126,2128,2131],{"className":2127},[633],[589,2129,1688],{"className":2130},[633,634],[589,2132,2134],{"className":2133},[1837],[589,2135,2137],{"className":2136},[1434],[589,2138,2140],{"className":2139},[1439],[589,2141,2143],{"className":2142,"style":1847},[1443],[589,2144,2145,2148],{"style":1850},[589,2146],{"className":2147,"style":1854},[1451],[589,2149,2151],{"className":2150},[1456,1457,1458,1459],[589,2152,2154,2157],{"className":2153},[633,1459],[589,2155,1693],{"className":2156},[633,1459],[589,2158,1537],{"className":2159},[633,1459],[589,2161],{"className":2162,"style":817},[816],[589,2164,1715],{"className":2165},[821],[589,2167],{"className":2168,"style":817},[816],[589,2170,2172,2175,2178,2184],{"className":2171},[624],[589,2173],{"className":2174,"style":1217},[628],[589,2176,939],{"className":2177},[633],[589,2179,2181],{"className":2180},[633],[589,2182,1228],{"className":2183},[1227],[589,2185,2187],{"className":2186},[633],"0498",". Mindestens ",[589,2190,2192,2205],{"className":2191},[592],[589,2193,2195],{"className":2194},[596],[598,2196,2197],{"xmlns":600},[602,2198,2199,2203],{},[605,2200,2201],{},[937,2202,1537],{},[612,2204,1537],{"encoding":614},[589,2206,2208],{"className":2207,"ariaHidden":620},[619],[589,2209,2211,2214],{"className":2210},[624],[589,2212],{"className":2213,"style":971},[628],[589,2215,1537],{"className":2216},[633]," Anrufe:",[589,2219,2221],{"className":2220},[750],[589,2222,2224,2285],{"className":2223},[592],[589,2225,2227],{"className":2226},[596],[598,2228,2229],{"xmlns":600,"display":759},[602,2230,2231,2282],{},[605,2232,2233,2235,2237,2239,2241,2243,2245,2247,2249,2251,2261,2277,2279],{},[608,2234,1251],{},[652,2236,655],{"stretchy":654},[608,2238,658],{},[652,2240,1127],{},[937,2242,1537],{},[652,2244,661],{"stretchy":654},[652,2246,775],{},[937,2248,1232],{},[652,2250,1693],{},[1667,2252,2253,2255],{},[608,2254,1688],{},[605,2256,2257,2259],{},[652,2258,1693],{},[937,2260,1537],{},[605,2262,2263,2265,2267,2269,2271,2273,2275],{},[652,2264,655],{"fence":620},[937,2266,1232],{},[652,2268,1263],{},[937,2270,1537],{},[652,2272,1263],{},[937,2274,1700],{},[652,2276,661],{"fence":620},[652,2278,1715],{},[937,2280,2281],{},"0,5768",[612,2283,2284],{"encoding":614},"P(X \\geq 3) = 1 - e^{-3}\\left(1 + 3 + 4{,}5\\right) \\approx 0{,}5768",[589,2286,2288,2312,2333,2352,2454],{"className":2287,"ariaHidden":620},[619],[589,2289,2291,2294,2297,2300,2303,2306,2309],{"className":2290},[624],[589,2292],{"className":2293,"style":674},[628],[589,2295,1251],{"className":2296,"style":1312},[633,634],[589,2298,655],{"className":2299},[682],[589,2301,658],{"className":2302,"style":686},[633,634],[589,2304],{"className":2305,"style":817},[816],[589,2307,1127],{"className":2308},[821],[589,2310],{"className":2311,"style":817},[816],[589,2313,2315,2318,2321,2324,2327,2330],{"className":2314},[624],[589,2316],{"className":2317,"style":674},[628],[589,2319,1537],{"className":2320},[633],[589,2322,661],{"className":2323},[690],[589,2325],{"className":2326,"style":817},[816],[589,2328,775],{"className":2329},[821],[589,2331],{"className":2332,"style":817},[816],[589,2334,2336,2340,2343,2346,2349],{"className":2335},[624],[589,2337],{"className":2338,"style":2339},[628],"height:0.7278em;vertical-align:-0.0833em;",[589,2341,1232],{"className":2342},[633],[589,2344],{"className":2345,"style":678},[816],[589,2347,1693],{"className":2348},[1021],[589,2350],{"className":2351,"style":678},[816],[589,2353,2355,2359,2394,2397,2445,2448,2451],{"className":2354},[624],[589,2356],{"className":2357,"style":2358},[628],"height:1.1141em;vertical-align:-0.25em;",[589,2360,2362,2365],{"className":2361},[633],[589,2363,1688],{"className":2364},[633,634],[589,2366,2368],{"className":2367},[1837],[589,2369,2371],{"className":2370},[1434],[589,2372,2374],{"className":2373},[1439],[589,2375,2377],{"className":2376,"style":1898},[1443],[589,2378,2379,2382],{"style":1901},[589,2380],{"className":2381,"style":1854},[1451],[589,2383,2385],{"className":2384},[1456,1457,1458,1459],[589,2386,2388,2391],{"className":2387},[633,1459],[589,2389,1693],{"className":2390},[633,1459],[589,2392,1537],{"className":2393},[633,1459],[589,2395],{"className":2396,"style":1879},[816],[589,2398,2401,2406,2409,2412,2415,2418,2421,2424,2427,2430,2433,2439,2442],{"className":2399},[2400],"minner",[589,2402,655],{"className":2403,"style":2405},[682,2404],"delimcenter","top:0em;",[589,2407,1232],{"className":2408},[633],[589,2410],{"className":2411,"style":678},[816],[589,2413,1263],{"className":2414},[1021],[589,2416],{"className":2417,"style":678},[816],[589,2419,1537],{"className":2420},[633],[589,2422],{"className":2423,"style":678},[816],[589,2425,1263],{"className":2426},[1021],[589,2428],{"className":2429,"style":678},[816],[589,2431,1935],{"className":2432},[633],[589,2434,2436],{"className":2435},[633],[589,2437,1228],{"className":2438},[1227],[589,2440,1945],{"className":2441},[633],[589,2443,661],{"className":2444,"style":2405},[690,2404],[589,2446],{"className":2447,"style":817},[816],[589,2449,1715],{"className":2450},[821],[589,2452],{"className":2453,"style":817},[816],[589,2455,2457,2460,2463,2469],{"className":2456},[624],[589,2458],{"className":2459,"style":1217},[628],[589,2461,939],{"className":2462},[633],[589,2464,2466],{"className":2465},[633],[589,2467,1228],{"className":2468},[1227],[589,2470,2472],{"className":2471},[633],"5768",[565,2474,2475,2476,2538,2539,2591,2592,2696],{},"Näherung der Binomialverteilung: Ein Bauteil ist mit ",[589,2477,2479,2498],{"className":2478},[592],[589,2480,2482],{"className":2481},[596],[598,2483,2484],{"xmlns":600},[602,2485,2486,2495],{},[605,2487,2488,2490,2492],{},[608,2489,565],{},[652,2491,775],{},[937,2493,2494],{},"0,002",[612,2496,2497],{"encoding":614},"p = 0{,}002",[589,2499,2501,2519],{"className":2500,"ariaHidden":620},[619],[589,2502,2504,2507,2510,2513,2516],{"className":2503},[624],[589,2505],{"className":2506,"style":952},[628],[589,2508,565],{"className":2509},[633,634],[589,2511],{"className":2512,"style":817},[816],[589,2514,775],{"className":2515},[821],[589,2517],{"className":2518,"style":817},[816],[589,2520,2522,2525,2528,2534],{"className":2521},[624],[589,2523],{"className":2524,"style":1217},[628],[589,2526,939],{"className":2527},[633],[589,2529,2531],{"className":2530},[633],[589,2532,1228],{"className":2533},[1227],[589,2535,2537],{"className":2536},[633],"002"," defekt, eine Lieferung hat ",[589,2540,2542,2561],{"className":2541},[592],[589,2543,2545],{"className":2544},[596],[598,2546,2547],{"xmlns":600},[602,2548,2549,2558],{},[605,2550,2551,2553,2555],{},[608,2552,878],{},[652,2554,775],{},[937,2556,2557],{},"1000",[612,2559,2560],{"encoding":614},"n = 1000",[589,2562,2564,2582],{"className":2563,"ariaHidden":620},[619],[589,2565,2567,2570,2573,2576,2579],{"className":2566},[624],[589,2568],{"className":2569,"style":897},[628],[589,2571,878],{"className":2572},[633,634],[589,2574],{"className":2575,"style":817},[816],[589,2577,775],{"className":2578},[821],[589,2580],{"className":2581,"style":817},[816],[589,2583,2585,2588],{"className":2584},[624],[589,2586],{"className":2587,"style":971},[628],[589,2589,2557],{"className":2590},[633]," Teile, also ",[589,2593,2595,2621],{"className":2594},[592],[589,2596,2598],{"className":2597},[596],[598,2599,2600],{"xmlns":600},[602,2601,2602,2618],{},[605,2603,2604,2606,2608,2610,2612,2614,2616],{},[608,2605,610],{},[652,2607,775],{},[937,2609,2557],{},[652,2611,992],{},[937,2613,2494],{},[652,2615,775],{},[937,2617,1619],{},[612,2619,2620],{"encoding":614},"\\lambda = 1000 \\cdot 0{,}002 = 2",[589,2622,2624,2642,2660,2687],{"className":2623,"ariaHidden":620},[619],[589,2625,2627,2630,2633,2636,2639],{"className":2626},[624],[589,2628],{"className":2629,"style":629},[628],[589,2631,610],{"className":2632},[633,634],[589,2634],{"className":2635,"style":817},[816],[589,2637,775],{"className":2638},[821],[589,2640],{"className":2641,"style":817},[816],[589,2643,2645,2648,2651,2654,2657],{"className":2644},[624],[589,2646],{"className":2647,"style":971},[628],[589,2649,2557],{"className":2650},[633],[589,2652],{"className":2653,"style":678},[816],[589,2655,992],{"className":2656},[1021],[589,2658],{"className":2659,"style":678},[816],[589,2661,2663,2666,2669,2675,2678,2681,2684],{"className":2662},[624],[589,2664],{"className":2665,"style":1217},[628],[589,2667,939],{"className":2668},[633],[589,2670,2672],{"className":2671},[633],[589,2673,1228],{"className":2674},[1227],[589,2676,2537],{"className":2677},[633],[589,2679],{"className":2680,"style":817},[816],[589,2682,775],{"className":2683},[821],[589,2685],{"className":2686,"style":817},[816],[589,2688,2690,2693],{"className":2689},[624],[589,2691],{"className":2692,"style":971},[628],[589,2694,1619],{"className":2695},[633],". Genau ein defektes Teil:",[589,2698,2700],{"className":2699},[750],[589,2701,2703,2748],{"className":2702},[592],[589,2704,2706],{"className":2705},[596],[598,2707,2708],{"xmlns":600,"display":759},[602,2709,2710,2745],{},[605,2711,2712,2714,2716,2718,2720,2722,2724,2726,2728,2730,2740,2742],{},[608,2713,1251],{},[652,2715,655],{"stretchy":654},[608,2717,658],{},[652,2719,775],{},[937,2721,1232],{},[652,2723,661],{"stretchy":654},[652,2725,1715],{},[937,2727,1619],{},[652,2729,992],{},[1667,2731,2732,2734],{},[608,2733,1688],{},[605,2735,2736,2738],{},[652,2737,1693],{},[937,2739,1619],{},[652,2741,1715],{},[937,2743,2744],{},"0,2707",[612,2746,2747],{"encoding":614},"P(X = 1) \\approx 2 \\cdot e^{-2} \\approx 0{,}2707",[589,2749,2751,2775,2796,2814,2864],{"className":2750,"ariaHidden":620},[619],[589,2752,2754,2757,2760,2763,2766,2769,2772],{"className":2753},[624],[589,2755],{"className":2756,"style":674},[628],[589,2758,1251],{"className":2759,"style":1312},[633,634],[589,2761,655],{"className":2762},[682],[589,2764,658],{"className":2765,"style":686},[633,634],[589,2767],{"className":2768,"style":817},[816],[589,2770,775],{"className":2771},[821],[589,2773],{"className":2774,"style":817},[816],[589,2776,2778,2781,2784,2787,2790,2793],{"className":2777},[624],[589,2779],{"className":2780,"style":674},[628],[589,2782,1232],{"className":2783},[633],[589,2785,661],{"className":2786},[690],[589,2788],{"className":2789,"style":817},[816],[589,2791,1715],{"className":2792},[821],[589,2794],{"className":2795,"style":817},[816],[589,2797,2799,2802,2805,2808,2811],{"className":2798},[624],[589,2800],{"className":2801,"style":971},[628],[589,2803,1619],{"className":2804},[633],[589,2806],{"className":2807,"style":678},[816],[589,2809,992],{"className":2810},[1021],[589,2812],{"className":2813,"style":678},[816],[589,2815,2817,2820,2855,2858,2861],{"className":2816},[624],[589,2818],{"className":2819,"style":1898},[628],[589,2821,2823,2826],{"className":2822},[633],[589,2824,1688],{"className":2825},[633,634],[589,2827,2829],{"className":2828},[1837],[589,2830,2832],{"className":2831},[1434],[589,2833,2835],{"className":2834},[1439],[589,2836,2838],{"className":2837,"style":1898},[1443],[589,2839,2840,2843],{"style":1901},[589,2841],{"className":2842,"style":1854},[1451],[589,2844,2846],{"className":2845},[1456,1457,1458,1459],[589,2847,2849,2852],{"className":2848},[633,1459],[589,2850,1693],{"className":2851},[633,1459],[589,2853,1619],{"className":2854},[633,1459],[589,2856],{"className":2857,"style":817},[816],[589,2859,1715],{"className":2860},[821],[589,2862],{"className":2863,"style":817},[816],[589,2865,2867,2870,2873,2879],{"className":2866},[624],[589,2868],{"className":2869,"style":1217},[628],[589,2871,939],{"className":2872},[633],[589,2874,2876],{"className":2875},[633],[589,2877,1228],{"className":2878},[1227],[589,2880,2882],{"className":2881},[633],"2707",[565,2884,2885,2886,3018,3019,1515],{},"Die exakte Binomialrechnung ",[589,2887,2889,2917],{"className":2888},[592],[589,2890,2892],{"className":2891},[596],[598,2893,2894],{"xmlns":600},[602,2895,2896,2914],{},[605,2897,2898,2900,2902,2904,2906],{},[937,2899,2557],{},[652,2901,992],{},[937,2903,2494],{},[652,2905,992],{},[1667,2907,2908,2911],{},[937,2909,2910],{},"0,998",[937,2912,2913],{},"999",[612,2915,2916],{"encoding":614},"1000 \\cdot 0{,}002 \\cdot 0{,}998^{999}",[589,2918,2920,2938,2965],{"className":2919,"ariaHidden":620},[619],[589,2921,2923,2926,2929,2932,2935],{"className":2922},[624],[589,2924],{"className":2925,"style":971},[628],[589,2927,2557],{"className":2928},[633],[589,2930],{"className":2931,"style":678},[816],[589,2933,992],{"className":2934},[1021],[589,2936],{"className":2937,"style":678},[816],[589,2939,2941,2944,2947,2953,2956,2959,2962],{"className":2940},[624],[589,2942],{"className":2943,"style":1217},[628],[589,2945,939],{"className":2946},[633],[589,2948,2950],{"className":2949},[633],[589,2951,1228],{"className":2952},[1227],[589,2954,2537],{"className":2955},[633],[589,2957],{"className":2958,"style":678},[816],[589,2960,992],{"className":2961},[1021],[589,2963],{"className":2964,"style":678},[816],[589,2966,2968,2972,2975,2981,2985],{"className":2967},[624],[589,2969],{"className":2970,"style":2971},[628],"height:1.0085em;vertical-align:-0.1944em;",[589,2973,939],{"className":2974},[633],[589,2976,2978],{"className":2977},[633],[589,2979,1228],{"className":2980},[1227],[589,2982,2984],{"className":2983},[633],"99",[589,2986,2988,2992],{"className":2987},[633],[589,2989,2991],{"className":2990},[633],"8",[589,2993,2995],{"className":2994},[1837],[589,2996,2998],{"className":2997},[1434],[589,2999,3001],{"className":3000},[1439],[589,3002,3004],{"className":3003,"style":1847},[1443],[589,3005,3006,3009],{"style":1850},[589,3007],{"className":3008,"style":1854},[1451],[589,3010,3012],{"className":3011},[1456,1457,1458,1459],[589,3013,3015],{"className":3014},[633,1459],[589,3016,2913],{"className":3017},[633,1459]," ergibt auf vier Stellen ebenfalls ",[589,3020,3022,3036],{"className":3021},[592],[589,3023,3025],{"className":3024},[596],[598,3026,3027],{"xmlns":600},[602,3028,3029,3033],{},[605,3030,3031],{},[937,3032,2744],{},[612,3034,3035],{"encoding":614},"0{,}2707",[589,3037,3039],{"className":3038,"ariaHidden":620},[619],[589,3040,3042,3045,3048,3054],{"className":3041},[624],[589,3043],{"className":3044,"style":1217},[628],[589,3046,939],{"className":3047},[633],[589,3049,3051],{"className":3050},[633],[589,3052,1228],{"className":3053},[1227],[589,3055,2882],{"className":3056},[633],[560,3058,3060],{"id":3059},"typische-fehler","Typische Fehler",[573,3062,3063,3204,3207,3527],{},[576,3064,3065,3093,3094,3122,3123,3151,3152,1515],{},[589,3066,3068,3081],{"className":3067},[592],[589,3069,3071],{"className":3070},[596],[598,3072,3073],{"xmlns":600},[602,3074,3075,3079],{},[605,3076,3077],{},[608,3078,610],{},[612,3080,615],{"encoding":614},[589,3082,3084],{"className":3083,"ariaHidden":620},[619],[589,3085,3087,3090],{"className":3086},[624],[589,3088],{"className":3089,"style":629},[628],[589,3091,610],{"className":3092},[633,634]," nicht an den Zeitraum anpassen. Sind es ",[589,3095,3097,3110],{"className":3096},[592],[589,3098,3100],{"className":3099},[596],[598,3101,3102],{"xmlns":600},[602,3103,3104,3108],{},[605,3105,3106],{},[937,3107,1537],{},[612,3109,1537],{"encoding":614},[589,3111,3113],{"className":3112,"ariaHidden":620},[619],[589,3114,3116,3119],{"className":3115},[624],[589,3117],{"className":3118,"style":971},[628],[589,3120,1537],{"className":3121},[633]," Anrufe pro Minute, ist für ",[589,3124,3126,3139],{"className":3125},[592],[589,3127,3129],{"className":3128},[596],[598,3130,3131],{"xmlns":600},[602,3132,3133,3137],{},[605,3134,3135],{},[937,3136,1619],{},[612,3138,1619],{"encoding":614},[589,3140,3142],{"className":3141,"ariaHidden":620},[619],[589,3143,3145,3148],{"className":3144},[624],[589,3146],{"className":3147,"style":971},[628],[589,3149,1619],{"className":3150},[633]," Minuten ",[589,3153,3155,3174],{"className":3154},[592],[589,3156,3158],{"className":3157},[596],[598,3159,3160],{"xmlns":600},[602,3161,3162,3171],{},[605,3163,3164,3166,3168],{},[608,3165,610],{},[652,3167,775],{},[937,3169,3170],{},"6",[612,3172,3173],{"encoding":614},"\\lambda = 6",[589,3175,3177,3195],{"className":3176,"ariaHidden":620},[619],[589,3178,3180,3183,3186,3189,3192],{"className":3179},[624],[589,3181],{"className":3182,"style":629},[628],[589,3184,610],{"className":3185},[633,634],[589,3187],{"className":3188,"style":817},[816],[589,3190,775],{"className":3191},[821],[589,3193],{"className":3194,"style":817},[816],[589,3196,3198,3201],{"className":3197},[624],[589,3199],{"className":3200,"style":971},[628],[589,3202,3170],{"className":3203},[633],[576,3205,3206],{},"Die Fakultät im Nenner vergessen.",[576,3208,3209,3210,3261,3262,1515],{},"Bei „mindestens“ den Fall ",[589,3211,3213,3231],{"className":3212},[592],[589,3214,3216],{"className":3215},[596],[598,3217,3218],{"xmlns":600},[602,3219,3220,3228],{},[605,3221,3222,3224,3226],{},[608,3223,1260],{},[652,3225,775],{},[937,3227,939],{},[612,3229,3230],{"encoding":614},"k = 0",[589,3232,3234,3252],{"className":3233,"ariaHidden":620},[619],[589,3235,3237,3240,3243,3246,3249],{"className":3236},[624],[589,3238],{"className":3239,"style":629},[628],[589,3241,1260],{"className":3242,"style":1338},[633,634],[589,3244],{"className":3245,"style":817},[816],[589,3247,775],{"className":3248},[821],[589,3250],{"className":3251,"style":817},[816],[589,3253,3255,3258],{"className":3254},[624],[589,3256],{"className":3257,"style":971},[628],[589,3259,939],{"className":3260},[633]," in der Gegenwahrscheinlichkeit vergessen. ",[589,3263,3265,3335],{"className":3264},[592],[589,3266,3268],{"className":3267},[596],[598,3269,3270],{"xmlns":600},[602,3271,3272,3332],{},[605,3273,3274,3276,3278,3280,3282,3284,3286,3288,3290,3292,3294,3296,3298,3300,3302,3304,3306,3308,3310,3312,3314,3316,3318,3320,3322,3324,3326,3328,3330],{},[608,3275,1251],{},[652,3277,655],{"stretchy":654},[608,3279,658],{},[652,3281,1127],{},[937,3283,1537],{},[652,3285,661],{"stretchy":654},[652,3287,775],{},[937,3289,1232],{},[652,3291,1693],{},[608,3293,1251],{},[652,3295,655],{"stretchy":654},[608,3297,658],{},[652,3299,775],{},[937,3301,939],{},[652,3303,661],{"stretchy":654},[652,3305,1693],{},[608,3307,1251],{},[652,3309,655],{"stretchy":654},[608,3311,658],{},[652,3313,775],{},[937,3315,1232],{},[652,3317,661],{"stretchy":654},[652,3319,1693],{},[608,3321,1251],{},[652,3323,655],{"stretchy":654},[608,3325,658],{},[652,3327,775],{},[937,3329,1619],{},[652,3331,661],{"stretchy":654},[612,3333,3334],{"encoding":614},"P(X \\geq 3) = 1 - P(X = 0) - P(X = 1) - P(X = 2)",[589,3336,3338,3362,3383,3401,3425,3446,3470,3491,3515],{"className":3337,"ariaHidden":620},[619],[589,3339,3341,3344,3347,3350,3353,3356,3359],{"className":3340},[624],[589,3342],{"className":3343,"style":674},[628],[589,3345,1251],{"className":3346,"style":1312},[633,634],[589,3348,655],{"className":3349},[682],[589,3351,658],{"className":3352,"style":686},[633,634],[589,3354],{"className":3355,"style":817},[816],[589,3357,1127],{"className":3358},[821],[589,3360],{"className":3361,"style":817},[816],[589,3363,3365,3368,3371,3374,3377,3380],{"className":3364},[624],[589,3366],{"className":3367,"style":674},[628],[589,3369,1537],{"className":3370},[633],[589,3372,661],{"className":3373},[690],[589,3375],{"className":3376,"style":817},[816],[589,3378,775],{"className":3379},[821],[589,3381],{"className":3382,"style":817},[816],[589,3384,3386,3389,3392,3395,3398],{"className":3385},[624],[589,3387],{"className":3388,"style":2339},[628],[589,3390,1232],{"className":3391},[633],[589,3393],{"className":3394,"style":678},[816],[589,3396,1693],{"className":3397},[1021],[589,3399],{"className":3400,"style":678},[816],[589,3402,3404,3407,3410,3413,3416,3419,3422],{"className":3403},[624],[589,3405],{"className":3406,"style":674},[628],[589,3408,1251],{"className":3409,"style":1312},[633,634],[589,3411,655],{"className":3412},[682],[589,3414,658],{"className":3415,"style":686},[633,634],[589,3417],{"className":3418,"style":817},[816],[589,3420,775],{"className":3421},[821],[589,3423],{"className":3424,"style":817},[816],[589,3426,3428,3431,3434,3437,3440,3443],{"className":3427},[624],[589,3429],{"className":3430,"style":674},[628],[589,3432,939],{"className":3433},[633],[589,3435,661],{"className":3436},[690],[589,3438],{"className":3439,"style":678},[816],[589,3441,1693],{"className":3442},[1021],[589,3444],{"className":3445,"style":678},[816],[589,3447,3449,3452,3455,3458,3461,3464,3467],{"className":3448},[624],[589,3450],{"className":3451,"style":674},[628],[589,3453,1251],{"className":3454,"style":1312},[633,634],[589,3456,655],{"className":3457},[682],[589,3459,658],{"className":3460,"style":686},[633,634],[589,3462],{"className":3463,"style":817},[816],[589,3465,775],{"className":3466},[821],[589,3468],{"className":3469,"style":817},[816],[589,3471,3473,3476,3479,3482,3485,3488],{"className":3472},[624],[589,3474],{"className":3475,"style":674},[628],[589,3477,1232],{"className":3478},[633],[589,3480,661],{"className":3481},[690],[589,3483],{"className":3484,"style":678},[816],[589,3486,1693],{"className":3487},[1021],[589,3489],{"className":3490,"style":678},[816],[589,3492,3494,3497,3500,3503,3506,3509,3512],{"className":3493},[624],[589,3495],{"className":3496,"style":674},[628],[589,3498,1251],{"className":3499,"style":1312},[633,634],[589,3501,655],{"className":3502},[682],[589,3504,658],{"className":3505,"style":686},[633,634],[589,3507],{"className":3508,"style":817},[816],[589,3510,775],{"className":3511},[821],[589,3513],{"className":3514,"style":817},[816],[589,3516,3518,3521,3524],{"className":3517},[624],[589,3519],{"className":3520,"style":674},[628],[589,3522,1619],{"className":3523},[633],[589,3525,661],{"className":3526},[690],[576,3528,3529,3530,3558,3559,3620],{},"Die Poisson-Näherung bei großem ",[589,3531,3533,3546],{"className":3532},[592],[589,3534,3536],{"className":3535},[596],[598,3537,3538],{"xmlns":600},[602,3539,3540,3544],{},[605,3541,3542],{},[608,3543,565],{},[612,3545,565],{"encoding":614},[589,3547,3549],{"className":3548,"ariaHidden":620},[619],[589,3550,3552,3555],{"className":3551},[624],[589,3553],{"className":3554,"style":952},[628],[589,3556,565],{"className":3557},[633,634]," verwenden. Für ",[589,3560,3562,3581],{"className":3561},[592],[589,3563,3565],{"className":3564},[596],[598,3566,3567],{"xmlns":600},[602,3568,3569,3578],{},[605,3570,3571,3573,3575],{},[608,3572,565],{},[652,3574,775],{},[937,3576,3577],{},"0,3",[612,3579,3580],{"encoding":614},"p = 0{,}3",[589,3582,3584,3602],{"className":3583,"ariaHidden":620},[619],[589,3585,3587,3590,3593,3596,3599],{"className":3586},[624],[589,3588],{"className":3589,"style":952},[628],[589,3591,565],{"className":3592},[633,634],[589,3594],{"className":3595,"style":817},[816],[589,3597,775],{"className":3598},[821],[589,3600],{"className":3601,"style":817},[816],[589,3603,3605,3608,3611,3617],{"className":3604},[624],[589,3606],{"className":3607,"style":1217},[628],[589,3609,939],{"className":3610},[633],[589,3612,3614],{"className":3613},[633],[589,3615,1228],{"className":3616},[1227],[589,3618,1537],{"className":3619},[633]," ist sie deutlich ungenau.",{"title":3622,"searchDepth":3623,"depth":3623,"links":3624},"",2,[3625,3626,3627],{"id":562,"depth":3623,"text":563},{"id":1518,"depth":3623,"text":1519},{"id":3059,"depth":3623,"text":3060},[3629,3634,3637,3640,3643,3646,3648,3651],{"lhs":3630,"rhs":3631,"where":3632},"l^(k+1) \u002F (k+1)! * exp(-l)","l^k \u002F k! * exp(-l) * l \u002F (k+1)",{"k":3633},4,{"lhs":3635,"rhs":3636},"3^2 \u002F 2! * exp(-3)","4.5 * exp(-3)",{"lhs":3638,"rhs":3639},"round(4.5 * exp(-3), 4)","0.2240",{"lhs":3641,"rhs":3642},"round(exp(-3), 4)","0.0498",{"lhs":3644,"rhs":3645},"round(1 - exp(-3) * (1 + 3 + 4.5), 4)","0.5768",{"lhs":3647,"rhs":1619},"1000 * 0.002",{"lhs":3649,"rhs":3650},"round(2 * exp(-2), 4)","0.2707",{"lhs":3652,"rhs":3650},"round(1000 * 0.002 * 0.998^999, 4)","\\lambda > 0,\\ k \\in \\mathbb{N}_0","\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>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\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:0.8389em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>k\u003C\u002Fmi>\u003Cmo>∈\u003C\u002Fmo>\u003Cmsub>\u003Cmi mathvariant=\"double-struck\">N\u003C\u002Fmi>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">k \\in \\mathbb{N}_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\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">∈\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8389em;vertical-align:-0.15em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathbb\">N\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;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\">0\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","poisson-distribution","P(X = k) = \\frac{\\lambda^k}{k!} \\, e^{-\\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>P\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>X\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmi>k\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmfrac>\u003Cmsup>\u003Cmi>λ\u003C\u002Fmi>\u003Cmi>k\u003C\u002Fmi>\u003C\u002Fmsup>\u003Cmrow>\u003Cmi>k\u003C\u002Fmi>\u003Cmo stretchy=\"false\">!\u003C\u002Fmo>\u003C\u002Fmrow>\u003C\u002Fmfrac>\u003Cmtext> \u003C\u002Fmtext>\u003Cmsup>\u003Cmi>e\u003C\u002Fmi>\u003Cmrow>\u003Cmo>−\u003C\u002Fmo>\u003Cmi>λ\u003C\u002Fmi>\u003C\u002Fmrow>\u003C\u002Fmsup>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">P(X = k) = \\frac{\\lambda^k}{k!} \\, e^{-\\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:0.1389em;\">P\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">X\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0315em;\">k\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:2.2121em;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:1.5261em;\">\u003Cspan style=\"top:-2.314em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003Cspan class=\"mclose\">!\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\">\u003Cspan class=\"mord mathnormal\">λ\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8491em;\">\u003Cspan style=\"top:-3.063em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\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=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">e\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8991em;\">\u003Cspan style=\"top:-3.113em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mtight\">−\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal mtight\">λ\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","university",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Fstochastics\u002Fpoisson-verteilung",[],[3666,3667,3668],"binomial-distribution","exponential-distribution","expected-value",{"title":548,"description":3622},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fpoisson-verteilung","Wahrscheinlichkeit für genau k Ereignisse, wenn im Mittel λ unabhängige Ereignisse pro Zeitraum auftreten.",[3673,3674,3675,3676],"seltene ereignisse","diskrete verteilung","wahrscheinlichkeitsverteilung","zählprozess",[3678,3681,3684,3687],{"symbol":658,"meaning":3679,"symbolHtml":3680},"Anzahl der Ereignisse in einem festen Zeitraum oder Bereich","\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":1260,"meaning":3682,"symbolHtml":3683},"Anzahl, deren Wahrscheinlichkeit gesucht ist","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>k\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">k\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\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":615,"meaning":3685,"symbolHtml":3686},"mittlere Anzahl der Ereignisse, zugleich Erwartungswert und Varianz","\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 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class=\"mord mathnormal\">e\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","2JCrrRUIAXTkA2v1tACqBjvl9qDSxg5CoXKCDGBeamM",[3692,3695,3698],{"stem":3693,"title":3694,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fbinomialverteilung","Binomialverteilung",{"stem":3696,"title":3697,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Ferwartungswert","Erwartungswert",{"stem":3699,"title":3700,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fexponentialverteilung","Exponentialverteilung",1793824287236]