Stikpr\303\270ver med og uden tilbagel\303\246gningEksempel 110Foruds\303\246tningen:Forsamling af 200 mennesker, heraf 120 kvinder og 80 m\303\246nd.Der skal udtages en stikpr\303\270ve p\303\245 10 mennesker.Hvad er sandsynligheden for, at der er 6 kvinder i stikpr\303\270ven?Binomialfordeling (med tilbagel\303\246gning):Binomialfordelingen er en tiln\303\246rmelse, hvor man regner stikpr\303\270ven med tilbagel\303\246gning.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2J1Eld2l0aEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjA0LDE1M11GJy8lJ29wYXF1ZUdGMS8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSShtZmVuY2VkR0YkNiYtRiM2Iy1GLDYnUStTdGF0aXN0aWNzRidGL0YyRjVGN0YyRjUvRjhRJ25vcm1hbEYnLUkjbW9HRiQ2L1EiOkYnRjJGNUZCLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZKLyUpc3RyZXRjaHlHRkovJSpzeW1tZXRyaWNHRkovJShsYXJnZW9wR0ZKLyUubW92YWJsZWxpbWl0c0dGSi8lJ2FjY2VudEdGSi8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlk=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2J1EiWEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjA0LDE1M11GJy8lJ29wYXF1ZUdGMS8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYvUSomY29sb25lcTtGJ0YyRjUvRjhRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlEtRiw2J1EvUmFuZG9tVmFyaWFibGVGJ0YvRjJGNUY3LUkobWZlbmNlZEdGJDYmLUYjNiQtRiw2J1EpQmlub21pYWxGJ0YvRjJGNUY3LUZYNiYtRiM2JS1GLDYnUSJuRidGL0YyRjVGNy1GOzYvUSIsRidGMkY1Rj5GQC9GREYxRkVGR0ZJRktGTS9GUFEmMC4wZW1GJy9GU1EsMC4zMzMzMzMzZW1GJy1GLDYnUSJwRidGL0YyRjVGN0YyRjVGPkYyRjVGPi1GOzYvUSI6RidGMkY1Rj5GQEZDRkVGR0ZJRktGTUZPRlI=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2J1EibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjA0LDE1M11GJy8lJ29wYXF1ZUdGMS8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYvUSomY29sb25lcTtGJ0YyRjUvRjhRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlEtSSNtbkdGJDYmUSMxMEYnRjJGNUY+LUY7Ni9RIjtGJ0YyRjVGPkZAL0ZERjFGRUZHRklGS0ZNL0ZQUSYwLjBlbUYnRlItRjs2L1EifkYnRjJGNUY+RkBGQ0ZFRkdGSUZLRk1GZm4vRlNGZ24tRiw2J1EicEYnRi9GMkY1RjdGOi1JJm1mcmFjR0YkNiktRlU2JlEkMTIwRidGMkY1Rj4tRiM2Iy1GVTYmUSQyMDBGJ0YyRjVGPi8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGX3AvJSliZXZlbGxlZEdGQkYyLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2J1E0UHJvYmFiaWxpdHlGdW5jdGlvbkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjA0LDE1M11GJy8lJ29wYXF1ZUdGMS8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSShtZmVuY2VkR0YkNiYtRiM2JS1GLDYnUSJYRidGL0YyRjVGNy1JI21vR0YkNi9RIixGJ0YyRjUvRjhRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkovJSpzeW1tZXRyaWNHRkovJShsYXJnZW9wR0ZKLyUubW92YWJsZWxpbWl0c0dGSi8lJ2FjY2VudEdGSi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUkjbW5HRiQ2JlEiNkYnRjJGNUZGRjJGNUZGLUZDNi1RIjpGJ0ZGRkgvRkxGSkZNRk9GUUZTRlUvRlhRLDAuMjc3Nzc3OGVtRicvRmVuRmBvLUZDNi1RIn5GJ0ZGRkhGXm9GTUZPRlFGU0ZVRlcvRmVuRlktRiw2JVEmZXZhbGZGJ0YvRjctRjs2JC1GIzYjLUYsNiVRIiVGJ0YvRjdGRg==Konklusion: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEjY2FGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSIuRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkwtRjY2LVEifkYnRjlGO0Y+RkBGQkZERkZGSEZKRk0tRiM2JS1GLDYjUSFGJy1JJ211bmRlckdGJDYlLUYjNipGVC1GIzYlRlQtRlg2JS1GIzYqLUkjbW5HRiQ2JFElMjUuMUYnRjlGTy1GLDYlUSIlRidGL0YyRi8vJStmb3JlZ3JvdW5kR1ErWzAsMTYwLDgwXUYnLyUscGxhY2Vob2xkZXJHRjEvJTZzZWxlY3Rpb24tcGxhY2Vob2xkZXJHRjFGMi1GNjYuUSomT3ZlckJhcjtGJ0Zmb0Y5L0Y8USZ1bnNldEYnL0Y/Rl5wL0ZBRl5wL0ZDRl5wL0ZFRl5wL0ZHRl5wL0ZJRl5wRkpGTS8lLGFjY2VudHVuZGVyR0Y9RjlGVEYvRmNvRmZvRmhvRjJGam9GZXBGOUZURjk=Stikpr\303\270ven uden tilbagel\303\246gning: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Der skal nemlig udtages 6 kvinder ud af de 120 kvinder samt 4 m\303\246nd ud af de 80 m\303\246nd.I alt skal der udtages 10 ud af 200 mennesker.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Konklusion: 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 fordeling (uden tilbagel\303\246gning):Er pr\303\246cist det samme som netop udregnet! Alts\303\245 en stikpr\303\270ve uden tilbagel\303\246gning.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==QyQtSSV3aXRoRzYiNiNJK1N0YXRpc3RpY3NHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiUhIiI=QyQ+SSJYRzYiLUkvUmFuZG9tVmFyaWFibGVHRiU2Iy1JL0h5cGVyZ2VvbWV0cmljR0YlNiVJKkFudGFsSWFsdEdGJUkqQW50YWxHb2RlR0YlSS1BbnRhbFVkdGFnZXNHRiUhIiI=Qyc+SSpBbnRhbElhbHRHNiIiJCsjIiIiPkkqQW50YWxHb2RlR0YlIiQ/IkYnPkktQW50YWxVZHRhZ2VzR0YlIiM1QyUtSTRQcm9iYWJpbGl0eUZ1bmN0aW9uRzYiNiRJIlhHRiUiIichIiItSSZldmFsZkclKnByb3RlY3RlZEc2I0kiJUdGJQ==Konklusion: 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