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Консультация № 188268
29.11.2015, 12:52
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Уважаемые эксперты! Пожалуйста, помогите с решением :
вероятность «сбоя» в работе телефонной станции при каждом вызове равна 0,001. Определить вероятность того, что среди 300 поступивших вызовов имеется 8 сбоев
вероятность «сбоя» в работе телефонной станции при каждом вызове равна 0,001. Определить вероятность того, что среди 300 поступивших вызовов имеется 8 сбоев
Обсуждение
29.11.2015, 14:37
общий
это ответ
Здравствуйте, Эльвира!
Вероятность появления события m раз при n независимых испытаниях определяется по формуле Бернулли:
где p - вероятность появления события в одном испытании. В данном случае p = 0.001, n = 300 и m = 8, поэтому искомая вероятность равна
Вероятность появления события m раз при n независимых испытаниях определяется по формуле Бернулли:
где p - вероятность появления события в одном испытании. В данном случае p = 0.001, n = 300 и m = 8, поэтому искомая вероятность равна
29.11.2015, 17:21
общий
это ответ
Здравствуйте, Эльвира!
Имеем p=0.001; n=300; m=8
Для нахождения вероятности появления события в n=300 испытаниях ровно m=8 раз, применим формулу:
Pm,n=n!/(m!*(n-m)!)* p^m*(1-p)^(n-m)
Получим P= 300!/(8!*292!)*0.001^8*0.999^292=0.00000032
Имеем p=0.001; n=300; m=8
Для нахождения вероятности появления события в n=300 испытаниях ровно m=8 раз, применим формулу:
Pm,n=n!/(m!*(n-m)!)* p^m*(1-p)^(n-m)
Получим P= 300!/(8!*292!)*0.001^8*0.999^292=0.00000032
29.11.2015, 20:57
общий
Адресаты:
Как факториалы считали? Ошибка примерно в 300 раз явно свидетельствует о потерянном либо лишнем множителе.
29.11.2015, 22:41
общий
Адресаты:
Ошибка в ответе!
Получим P= 300!/(8!*292!)*0.001^8*0.999^292=0.000000001
Получим P= 300!/(8!*292!)*0.001^8*0.999^292=0.000000001
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