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\\frac{1}{6} + \\ldots + 6 \\cdot \\frac{1}{6} = 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7},[946],[574,1163,1164,1167],{"style":950},[574,1165],{"className":1166,"style":930},[929],[574,1168,1170],{"className":1169},[617],[574,1171,698],{"className":1172},[617],[574,1174,964],{"className":1175},[963],[574,1177,1179],{"className":1178},[917],[574,1180,1182],{"className":1181,"style":971},[921],[574,1183],{},[574,1185],{"className":1186},[674,905],[574,1188],{"className":1189,"style":864},[863],[574,1191,786],{"className":1192},[868],[574,1194],{"className":1195,"style":864},[863],[574,1197,1199,1203,1207,1215],{"className":1198},[608],[574,1200],{"className":1201,"style":1202},[612],"height:0.8389em;vertical-align:-0.1944em;",[574,1204,1206],{"className":1205},[617],"3",[574,1208,1210],{"className":1209},[617],[574,1211,1214],{"className":1212},[1213],"mpunct",",",[574,1216,1218],{"className":1217},[617],"5",[565,1220,1221,1222,1260],{},"Der Wert ",[574,1223,1225,1239],{"className":1224},[577],[574,1226,1228],{"className":1227},[581],[583,1229,1230],{"xmlns":585},[587,1231,1232,1236],{},[590,1233,1234],{},[696,1235,835],{},[597,1237,1238],{"encoding":599},"3{,}5",[574,1240,1242],{"className":1241,"ariaHidden":604},[603],[574,1243,1245,1248,1251,1257],{"className":1244},[608],[574,1246],{"className":1247,"style":1202},[612],[574,1249,1206],{"className":1250},[617],[574,1252,1254],{"className":1253},[617],[574,1255,1214],{"className":1256},[1213],[574,1258,1218],{"className":1259},[617]," kann nie gewürfelt werden. Er ist der langfristige Durchschnitt.",[565,1262,1263,1264,1292,1293,1322,1323,1351,1352,1380,1381,1410,1411,1439,1440,1476],{},"An einer Losbude kostet ein Los ",[574,1265,1267,1280],{"className":1266},[577],[574,1268,1270],{"className":1269},[581],[583,1271,1272],{"xmlns":585},[587,1273,1274,1278],{},[590,1275,1276],{},[696,1277,698],{},[597,1279,698],{"encoding":599},[574,1281,1283],{"className":1282,"ariaHidden":604},[603],[574,1284,1286,1289],{"className":1285},[608],[574,1287],{"className":1288,"style":710},[612],[574,1290,698],{"className":1291},[617]," €. Mit 5 % gewinnt man ",[574,1294,1296,1310],{"className":1295},[577],[574,1297,1299],{"className":1298},[581],[583,1300,1301],{"xmlns":585},[587,1302,1303,1308],{},[590,1304,1305],{},[696,1306,1307],{},"10",[597,1309,1307],{"encoding":599},[574,1311,1313],{"className":1312,"ariaHidden":604},[603],[574,1314,1316,1319],{"className":1315},[608],[574,1317],{"className":1318,"style":710},[612],[574,1320,1307],{"className":1321},[617]," €, mit 15 % ",[574,1324,1326,1339],{"className":1325},[577],[574,1327,1329],{"className":1328},[581],[583,1330,1331],{"xmlns":585},[587,1332,1333,1337],{},[590,1334,1335],{},[696,1336,805],{},[597,1338,805],{"encoding":599},[574,1340,1342],{"className":1341,"ariaHidden":604},[603],[574,1343,1345,1348],{"className":1344},[608],[574,1346],{"className":1347,"style":710},[612],[574,1349,805],{"className":1350},[617]," €, sonst nichts. Der Reingewinn ",[574,1353,1355,1368],{"className":1354},[577],[574,1356,1358],{"className":1357},[581],[583,1359,1360],{"xmlns":585},[587,1361,1362,1366],{},[590,1363,1364],{},[593,1365,595],{},[597,1367,595],{"encoding":599},[574,1369,1371],{"className":1370,"ariaHidden":604},[603],[574,1372,1374,1377],{"className":1373},[608],[574,1375],{"className":1376,"style":613},[612],[574,1378,595],{"className":1379,"style":619},[617,618]," (Auszahlung minus Einsatz) ist ",[574,1382,1384,1398],{"className":1383},[577],[574,1385,1387],{"className":1386},[581],[583,1388,1389],{"xmlns":585},[587,1390,1391,1396],{},[590,1392,1393],{},[696,1394,1395],{},"9",[597,1397,1395],{"encoding":599},[574,1399,1401],{"className":1400,"ariaHidden":604},[603],[574,1402,1404,1407],{"className":1403},[608],[574,1405],{"className":1406,"style":710},[612],[574,1408,1395],{"className":1409},[617]," €, ",[574,1412,1414,1427],{"className":1413},[577],[574,1415,1417],{"className":1416},[581],[583,1418,1419],{"xmlns":585},[587,1420,1421,1425],{},[590,1422,1423],{},[696,1424,698],{},[597,1426,698],{"encoding":599},[574,1428,1430],{"className":1429,"ariaHidden":604},[603],[574,1431,1433,1436],{"className":1432},[608],[574,1434],{"className":1435,"style":710},[612],[574,1437,698],{"className":1438},[617]," € oder ",[574,1441,1443,1460],{"className":1442},[577],[574,1444,1446],{"className":1445},[581],[583,1447,1448],{"xmlns":585},[587,1449,1450,1457],{},[590,1451,1452,1455],{},[639,1453,1454],{},"−",[696,1456,698],{},[597,1458,1459],{"encoding":599},"-1",[574,1461,1463],{"className":1462,"ariaHidden":604},[603],[574,1464,1466,1470,1473],{"className":1465},[608],[574,1467],{"className":1468,"style":1469},[612],"height:0.7278em;vertical-align:-0.0833em;",[574,1471,1454],{"className":1472},[617],[574,1474,698],{"className":1475},[617]," €:",[574,1478,1480],{"className":1479},[762],[574,1481,1483,1543],{"className":1482},[577],[574,1484,1486],{"className":1485},[581],[583,1487,1488],{"xmlns":585,"display":771},[587,1489,1490,1540],{},[590,1491,1492,1494,1496,1498,1500,1502,1504,1506,1509,1511,1513,1515,1518,1520,1522,1524,1526,1528,1530,1533,1535,1537],{},[593,1493,637],{},[639,1495,642],{"stretchy":641},[593,1497,595],{},[639,1499,647],{"stretchy":641},[639,1501,786],{},[696,1503,1395],{},[639,1505,791],{},[696,1507,1508],{},"0,05",[639,1510,802],{},[696,1512,698],{},[639,1514,791],{},[696,1516,1517],{},"0,15",[639,1519,802],{},[639,1521,642],{"stretchy":641},[639,1523,1454],{},[696,1525,698],{},[639,1527,647],{"stretchy":641},[639,1529,791],{},[696,1531,1532],{},"0,8",[639,1534,786],{},[639,1536,1454],{},[696,1538,1539],{},"0,2",[597,1541,1542],{"encoding":599},"E(X) = 9 \\cdot 0{,}05 + 1 \\cdot 0{,}15 + (-1) \\cdot 0{,}8 = -0{,}2",[574,1544,1546,1573,1591,1619,1637,1665,1692,1720],{"className":1545,"ariaHidden":604},[603],[574,1547,1549,1552,1555,1558,1561,1564,1567,1570],{"className":1548},[608],[574,1550],{"className":1551,"style":659},[612],[574,1553,637],{"className":1554,"style":663},[617,618],[574,1556,642],{"className":1557},[667],[574,1559,595],{"className":1560,"style":619},[617,618],[574,1562,647],{"className":1563},[674],[574,1565],{"className":1566,"style":864},[863],[574,1568,786],{"className":1569},[868],[574,1571],{"className":1572,"style":864},[863],[574,1574,1576,1579,1582,1585,1588],{"className":1575},[608],[574,1577],{"className":1578,"style":710},[612],[574,1580,1395],{"className":1581},[617],[574,1583],{"className":1584,"style":884},[863],[574,1586,791],{"className":1587},[888],[574,1589],{"className":1590,"style":884},[863],[574,1592,1594,1597,1600,1606,1610,1613,1616],{"className":1593},[608],[574,1595],{"className":1596,"style":1202},[612],[574,1598,736],{"className":1599},[617],[574,1601,1603],{"className":1602},[617],[574,1604,1214],{"className":1605},[1213],[574,1607,1609],{"className":1608},[617],"05",[574,1611],{"className":1612,"style":884},[863],[574,1614,802],{"className":1615},[888],[574,1617],{"className":1618,"style":884},[863],[574,1620,1622,1625,1628,1631,1634],{"className":1621},[608],[574,1623],{"className":1624,"style":710},[612],[574,1626,698],{"className":1627},[617],[574,1629],{"className":1630,"style":884},[863],[574,1632,791],{"className":1633},[888],[574,1635],{"className":1636,"style":884},[863],[574,1638,1640,1643,1646,1652,1656,1659,1662],{"className":1639},[608],[574,1641],{"className":1642,"style":1202},[612],[574,1644,736],{"className":1645},[617],[574,1647,1649],{"className":1648},[617],[574,1650,1214],{"className":1651},[1213],[574,1653,1655],{"className":1654},[617],"15",[574,1657],{"className":1658,"style":884},[863],[574,1660,802],{"className":1661},[888],[574,1663],{"className":1664,"style":884},[863],[574,1666,1668,1671,1674,1677,1680,1683,1686,1689],{"className":1667},[608],[574,1669],{"className":1670,"style":659},[612],[574,1672,642],{"className":1673},[667],[574,1675,1454],{"className":1676},[617],[574,1678,698],{"className":1679},[617],[574,1681,647],{"className":1682},[674],[574,1684],{"className":1685,"style":884},[863],[574,1687,791],{"className":1688},[888],[574,1690],{"className":1691,"style":884},[863],[574,1693,1695,1698,1701,1707,1711,1714,1717],{"className":1694},[608],[574,1696],{"className":1697,"style":1202},[612],[574,1699,736],{"className":1700},[617],[574,1702,1704],{"className":1703},[617],[574,1705,1214],{"className":1706},[1213],[574,1708,1710],{"className":1709},[617],"8",[574,1712],{"className":1713,"style":864},[863],[574,1715,786],{"className":1716},[868],[574,1718],{"className":1719,"style":864},[863],[574,1721,1723,1726,1729,1732,1738],{"className":1722},[608],[574,1724],{"className":1725,"style":1202},[612],[574,1727,1454],{"className":1728},[617],[574,1730,736],{"className":1731},[617],[574,1733,1735],{"className":1734},[617],[574,1736,1214],{"className":1737},[1213],[574,1739,805],{"className":1740},[617],[565,1742,1743,1744,1784,1785,1814,1815,1843],{},"Pro Los verliert man im Mittel ",[574,1745,1747,1762],{"className":1746},[577],[574,1748,1750],{"className":1749},[581],[583,1751,1752],{"xmlns":585},[587,1753,1754,1759],{},[590,1755,1756],{},[696,1757,1758],{},"0,20",[597,1760,1761],{"encoding":599},"0{,}20",[574,1763,1765],{"className":1764,"ariaHidden":604},[603],[574,1766,1768,1771,1774,1780],{"className":1767},[608],[574,1769],{"className":1770,"style":1202},[612],[574,1772,736],{"className":1773},[617],[574,1775,1777],{"className":1776},[617],[574,1778,1214],{"className":1779},[1213],[574,1781,1783],{"className":1782},[617],"20"," €, bei ",[574,1786,1788,1802],{"className":1787},[577],[574,1789,1791],{"className":1790},[581],[583,1792,1793],{"xmlns":585},[587,1794,1795,1800],{},[590,1796,1797],{},[696,1798,1799],{},"100",[597,1801,1799],{"encoding":599},[574,1803,1805],{"className":1804,"ariaHidden":604},[603],[574,1806,1808,1811],{"className":1807},[608],[574,1809],{"className":1810,"style":710},[612],[574,1812,1799],{"className":1813},[617]," Losen also etwa ",[574,1816,1818,1831],{"className":1817},[577],[574,1819,1821],{"className":1820},[581],[583,1822,1823],{"xmlns":585},[587,1824,1825,1829],{},[590,1826,1827],{},[696,1828,1783],{},[597,1830,1783],{"encoding":599},[574,1832,1834],{"className":1833,"ariaHidden":604},[603],[574,1835,1837,1840],{"className":1836},[608],[574,1838],{"className":1839,"style":710},[612],[574,1841,1783],{"className":1842},[617]," €. Das Spiel ist nicht fair.",[560,1845,1847],{"id":1846},"typische-fehler","Typische Fehler",[1849,1850,1851,2150,2305,2376],"ul",{},[1852,1853,1854,1855,2052,2053,2149],"li",{},"Den Einsatz vergessen. Die mittlere Auszahlung ist ",[574,1856,1858,1896],{"className":1857},[577],[574,1859,1861],{"className":1860},[581],[583,1862,1863],{"xmlns":585},[587,1864,1865,1893],{},[590,1866,1867,1869,1871,1873,1875,1877,1879,1881,1883,1885,1887,1889,1891],{},[696,1868,1307],{},[639,1870,791],{},[696,1872,1508],{},[639,1874,802],{},[696,1876,805],{},[639,1878,791],{},[696,1880,1517],{},[639,1882,802],{},[696,1884,736],{},[639,1886,791],{},[696,1888,1532],{},[639,1890,786],{},[696,1892,1532],{},[597,1894,1895],{"encoding":599},"10 \\cdot 0{,}05 + 2 \\cdot 0{,}15 + 0 \\cdot 0{,}8 = 0{,}8",[574,1897,1899,1917,1944,1962,1989,2007,2034],{"className":1898,"ariaHidden":604},[603],[574,1900,1902,1905,1908,1911,1914],{"className":1901},[608],[574,1903],{"className":1904,"style":710},[612],[574,1906,1307],{"className":1907},[617],[574,1909],{"className":1910,"style":884},[863],[574,1912,791],{"className":1913},[888],[574,1915],{"className":1916,"style":884},[863],[574,1918,1920,1923,1926,1932,1935,1938,1941],{"className":1919},[608],[574,1921],{"className":1922,"style":1202},[612],[574,1924,736],{"className":1925},[617],[574,1927,1929],{"className":1928},[617],[574,1930,1214],{"className":1931},[1213],[574,1933,1609],{"className":1934},[617],[574,1936],{"className":1937,"style":884},[863],[574,1939,802],{"className":1940},[888],[574,1942],{"className":1943,"style":884},[863],[574,1945,1947,1950,1953,1956,1959],{"className":1946},[608],[574,1948],{"className":1949,"style":710},[612],[574,1951,805],{"className":1952},[617],[574,1954],{"className":1955,"style":884},[863],[574,1957,791],{"className":1958},[888],[574,1960],{"className":1961,"style":884},[863],[574,1963,1965,1968,1971,1977,1980,1983,1986],{"className":1964},[608],[574,1966],{"className":1967,"style":1202},[612],[574,1969,736],{"className":1970},[617],[574,1972,1974],{"className":1973},[617],[574,1975,1214],{"className":1976},[1213],[574,1978,1655],{"className":1979},[617],[574,1981],{"className":1982,"style":884},[863],[574,1984,802],{"className":1985},[888],[574,1987],{"className":1988,"style":884},[863],[574,1990,1992,1995,1998,2001,2004],{"className":1991},[608],[574,1993],{"className":1994,"style":710},[612],[574,1996,736],{"className":1997},[617],[574,1999],{"className":2000,"style":884},[863],[574,2002,791],{"className":2003},[888],[574,2005],{"className":2006,"style":884},[863],[574,2008,2010,2013,2016,2022,2025,2028,2031],{"className":2009},[608],[574,2011],{"className":2012,"style":1202},[612],[574,2014,736],{"className":2015},[617],[574,2017,2019],{"className":2018},[617],[574,2020,1214],{"className":2021},[1213],[574,2023,1710],{"className":2024},[617],[574,2026],{"className":2027,"style":864},[863],[574,2029,786],{"className":2030},[868],[574,2032],{"className":2033,"style":864},[863],[574,2035,2037,2040,2043,2049],{"className":2036},[608],[574,2038],{"className":2039,"style":1202},[612],[574,2041,736],{"className":2042},[617],[574,2044,2046],{"className":2045},[617],[574,2047,1214],{"className":2048},[1213],[574,2050,1710],{"className":2051},[617]," €; erst nach Abzug des Einsatzes ergibt sich der Gewinn ",[574,2054,2056,2080],{"className":2055},[577],[574,2057,2059],{"className":2058},[581],[583,2060,2061],{"xmlns":585},[587,2062,2063,2077],{},[590,2064,2065,2067,2069,2071,2073,2075],{},[696,2066,1532],{},[639,2068,1454],{},[696,2070,698],{},[639,2072,786],{},[639,2074,1454],{},[696,2076,1539],{},[597,2078,2079],{"encoding":599},"0{,}8 - 1 = -0{,}2",[574,2081,2083,2110,2128],{"className":2082,"ariaHidden":604},[603],[574,2084,2086,2089,2092,2098,2101,2104,2107],{"className":2085},[608],[574,2087],{"className":2088,"style":1202},[612],[574,2090,736],{"className":2091},[617],[574,2093,2095],{"className":2094},[617],[574,2096,1214],{"className":2097},[1213],[574,2099,1710],{"className":2100},[617],[574,2102],{"className":2103,"style":884},[863],[574,2105,1454],{"className":2106},[888],[574,2108],{"className":2109,"style":884},[863],[574,2111,2113,2116,2119,2122,2125],{"className":2112},[608],[574,2114],{"className":2115,"style":710},[612],[574,2117,698],{"className":2118},[617],[574,2120],{"className":2121,"style":864},[863],[574,2123,786],{"className":2124},[868],[574,2126],{"className":2127,"style":864},[863],[574,2129,2131,2134,2137,2140,2146],{"className":2130},[608],[574,2132],{"className":2133,"style":1202},[612],[574,2135,1454],{"className":2136},[617],[574,2138,736],{"className":2139},[617],[574,2141,2143],{"className":2142},[617],[574,2144,1214],{"className":2145},[1213],[574,2147,805],{"className":2148},[617]," €.",[1852,2151,2152,2153,2304],{},"Die Werte einfach mitteln, ohne mit den Wahrscheinlichkeiten zu gewichten: ",[574,2154,2156,2188],{"className":2155},[577],[574,2157,2159],{"className":2158},[581],[583,2160,2161],{"xmlns":585},[587,2162,2163,2185],{},[590,2164,2165,2181,2183],{},[793,2166,2167,2179],{},[590,2168,2169,2171,2173,2175,2177],{},[696,2170,1395],{},[639,2172,802],{},[696,2174,698],{},[639,2176,1454],{},[696,2178,698],{},[696,2180,1206],{},[639,2182,786],{},[696,2184,1206],{},[597,2186,2187],{"encoding":599},"\\frac{9 + 1 - 1}{3} = 3",[574,2189,2191,2295],{"className":2190,"ariaHidden":604},[603],[574,2192,2194,2198,2286,2289,2292],{"className":2193},[608],[574,2195],{"className":2196,"style":2197},[612],"height:1.1901em;vertical-align:-0.345em;",[574,2199,2201,2204,2283],{"className":2200},[617],[574,2202],{"className":2203},[667,905],[574,2205,2207],{"className":2206},[793],[574,2208,2210,2274],{"className":2209},[912,913],[574,2211,2213,2271],{"className":2212},[917],[574,2214,2217,2236,2244],{"className":2215,"style":2216},[921],"height:0.8451em;",[574,2218,2220,2223],{"style":2219},"top:-2.655em;",[574,2221],{"className":2222,"style":930},[929],[574,2224,2230],{"className":2225},[2226,2227,2228,2229],"sizing","reset-size6","size3","mtight",[574,2231,2233],{"className":2232},[617,2229],[574,2234,1206],{"className":2235},[617,2229],[574,2237,2238,2241],{"style":939},[574,2239],{"className":2240,"style":930},[929],[574,2242],{"className":2243,"style":947},[946],[574,2245,2247,2250],{"style":2246},"top:-3.394em;",[574,2248],{"className":2249,"style":930},[929],[574,2251,2253],{"className":2252},[2226,2227,2228,2229],[574,2254,2256,2259,2262,2265,2268],{"className":2255},[617,2229],[574,2257,1395],{"className":2258},[617,2229],[574,2260,802],{"className":2261},[888,2229],[574,2263,698],{"className":2264},[617,2229],[574,2266,1454],{"className":2267},[888,2229],[574,2269,698],{"className":2270},[617,2229],[574,2272,964],{"className":2273},[963],[574,2275,2277],{"className":2276},[917],[574,2278,2281],{"className":2279,"style":2280},[921],"height:0.345em;",[574,2282],{},[574,2284],{"className":2285},[674,905],[574,2287],{"className":2288,"style":864},[863],[574,2290,786],{"className":2291},[868],[574,2293],{"className":2294,"style":864},[863],[574,2296,2298,2301],{"className":2297},[608],[574,2299],{"className":2300,"style":710},[612],[574,2302,1206],{"className":2303},[617]," ist falsch.",[1852,2306,2307,2308,2336,2337,2375],{},"Wahrscheinlichkeiten verwenden, die zusammen nicht ",[574,2309,2311,2324],{"className":2310},[577],[574,2312,2314],{"className":2313},[581],[583,2315,2316],{"xmlns":585},[587,2317,2318,2322],{},[590,2319,2320],{},[696,2321,698],{},[597,2323,698],{"encoding":599},[574,2325,2327],{"className":2326,"ariaHidden":604},[603],[574,2328,2330,2333],{"className":2329},[608],[574,2331],{"className":2332,"style":710},[612],[574,2334,698],{"className":2335},[617]," ergeben, weil ein Fall vergessen wurde (hier „kein Gewinn“ mit ",[574,2338,2340,2354],{"className":2339},[577],[574,2341,2343],{"className":2342},[581],[583,2344,2345],{"xmlns":585},[587,2346,2347,2351],{},[590,2348,2349],{},[696,2350,1532],{},[597,2352,2353],{"encoding":599},"0{,}8",[574,2355,2357],{"className":2356,"ariaHidden":604},[603],[574,2358,2360,2363,2366,2372],{"className":2359},[608],[574,2361],{"className":2362,"style":1202},[612],[574,2364,736],{"className":2365},[617],[574,2367,2369],{"className":2368},[617],[574,2370,1214],{"className":2371},[1213],[574,2373,1710],{"className":2374},[617],").",[1852,2377,2378,2379,2416],{},"Erwarten, dass der Erwartungswert ein möglicher Wert sein muss. Beim Würfel ist er ",[574,2380,2382,2395],{"className":2381},[577],[574,2383,2385],{"className":2384},[581],[583,2386,2387],{"xmlns":585},[587,2388,2389,2393],{},[590,2390,2391],{},[696,2392,835],{},[597,2394,1238],{"encoding":599},[574,2396,2398],{"className":2397,"ariaHidden":604},[603],[574,2399,2401,2404,2407,2413],{"className":2400},[608],[574,2402],{"className":2403,"style":1202},[612],[574,2405,1206],{"className":2406},[617],[574,2408,2410],{"className":2409},[617],[574,2411,1214],{"className":2412},[1213],[574,2414,1218],{"className":2415},[617],".",{"title":2418,"searchDepth":2419,"depth":2419,"links":2420},"",2,[2421,2422,2423],{"id":562,"depth":2419,"text":563},{"id":754,"depth":2419,"text":755},{"id":1846,"depth":2419,"text":1847},[2425,2428,2430,2433,2436,2439,2441],{"lhs":2426,"rhs":2427},"1*1\u002F6 + 2*1\u002F6 + 3*1\u002F6 + 4*1\u002F6 + 5*1\u002F6 + 6*1\u002F6","3.5",{"lhs":2429,"rhs":698},"0.05 + 0.15 + 0.8",{"lhs":2431,"rhs":2432},"9 * 0.05 + 1 * 0.15 + (-1) * 0.8","-0.2",{"lhs":2434,"rhs":2435},"100 * (-0.2)","-20",{"lhs":2437,"rhs":2438},"10 * 0.05 + 2 * 0.15 + 0 * 0.8","0.8",{"lhs":2440,"rhs":2432},"0.8 - 1",{"lhs":2442,"rhs":1206},"(9 + 1 - 1) \u002F 3","X \\text{ nimmt genau die verschiedenen Werte } x_1, \\ldots, x_n \\text{ an}","\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\">nimmt genau die verschiedenen Werte\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmo>…\u003C\u002Fmo>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">x_1, \\ldots,\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:0.625em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\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\">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:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"minner\">…\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\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>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">x_n\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.5806em;vertical-align:-0.15em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.1514em;\">\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 mathnormal mtight\">n\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> \u003Cspan class=\"katex\">an\u003C\u002Fspan>",null,"md","expected-value","E(X) = \\sum_{i=1}^{n} x_i \\cdot P(X = x_i)","\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>\u003Cmunderover>\u003Cmo>∑\u003C\u002Fmo>\u003Cmrow>\u003Cmi>i\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmunderover>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmi>i\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmi>P\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>X\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmi>i\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">E(X) = \\sum_{i=1}^{n} x_i \\cdot P(X = x_i)\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:2.9291em;vertical-align:-1.2777em;\">\u003C\u002Fspan>\u003Cspan class=\"mop op-limits\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.6514em;\">\u003Cspan style=\"top:-1.8723em;margin-left:0em;\">\u003Cspan class=\"pstrut\" style=\"height:3.05em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">i\u003C\u002Fspan>\u003Cspan class=\"mrel mtight\">=\u003C\u002Fspan>\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.05em;\">\u003Cspan class=\"pstrut\" style=\"height:3.05em;\">\u003C\u002Fspan>\u003Cspan>\u003Cspan class=\"mop op-symbol large-op\">∑\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-4.3em;margin-left:0em;\">\u003Cspan class=\"pstrut\" style=\"height:3.05em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.2777em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3117em;\">\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 mathnormal mtight\">i\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">⋅\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\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:0.1389em;\">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\">\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3117em;\">\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 mathnormal mtight\">i\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","upper",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Fstochastics\u002Ferwartungswert",[],[2456,2457,2458],"arithmetic-mean","standard-deviation","binomial-mean-sd",{"title":548,"description":2418},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Ferwartungswert","Der Erwartungswert ist die Summe aller Werte einer Zufallsgröße, jeweils mit ihrer Wahrscheinlichkeit gewichtet.",[2463,2464,2465,2466],"zufallsgröße","wahrscheinlichkeitsverteilung","faires spiel","mittelwert",[2468,2471,2474,2478,2482,2486],{"symbol":552,"meaning":2469,"symbolHtml":2470},"Erwartungswert der Zufallsgröße X, oft auch μ geschrieben","\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":595,"meaning":2472,"symbolHtml":2473},"Zufallsgröße, z.B. Gewinn oder Augenzahl","\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":2475,"meaning":2476,"symbolHtml":2477},"x_i","die möglichen Werte von X","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmi>i\u003C\u002Fmi>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">x_i\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:0.5806em;vertical-align:-0.15em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3117em;\">\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 mathnormal mtight\">i\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>",{"symbol":2479,"meaning":2480,"symbolHtml":2481},"P(X = x_i)","Wahrscheinlichkeit, dass X den Wert x_i annimmt","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>P\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>X\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmi>i\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">P(X = x_i)\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\">\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3117em;\">\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 mathnormal mtight\">i\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":2483,"meaning":2484,"symbolHtml":2485},"n","Anzahl der möglichen Werte","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">n\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":2487,"meaning":2488,"symbolHtml":2489},"i","Laufindex von 1 bis n","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>i\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">i\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:0.6595em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">i\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","w5PKMnrOKaYH4pjNLwZTBY5ODtp5TWUJu_cFrQAqHZw",[2492,2495,2498],{"stem":2493,"title":2494,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Farithmetisches-mittel","Arithmetisches Mittel",{"stem":2496,"title":2497,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Ferwartungswert-und-standardabweichung-binomialverteilung","Erwartungswert und Standardabweichung der Binomialverteilung",{"stem":2499,"title":2500,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fstandardabweichung","Standardabweichung",1793824285144]