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Консультация № 173486
20.10.2009, 23:20
0.00 руб.
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1
1
Здравствуйте, уважаемые эксперты!
Заранее спасибо!
Среднее число машин, прибывающих в автопарк за 1 мин, равно двум. Найти вероятность того, что за 5 мин прибудет не менее двух машин, если поток прибытия машин простейший.
Заранее спасибо!
Среднее число машин, прибывающих в автопарк за 1 мин, равно двум. Найти вероятность того, что за 5 мин прибудет не менее двух машин, если поток прибытия машин простейший.
Обсуждение
Неизвестный
21.10.2009, 02:23
общий
это ответ
Здравствуйте, Волков Сергей Юриевич.
Случайная величина Х - число машин, прибывших за 5 минут - распределена по закону Пуассона с параметром µτ = 2 * 5 = 10.
P(X ≥ 2) = 1 - P(X = 0) - P(X = 1) = 1 - P0(5) - P1(5) = 1 - (100/0!)e-10 - (101/1!)e-10 = 0,99950.
Случайная величина Х - число машин, прибывших за 5 минут - распределена по закону Пуассона с параметром µτ = 2 * 5 = 10.
P(X ≥ 2) = 1 - P(X = 0) - P(X = 1) = 1 - P0(5) - P1(5) = 1 - (100/0!)e-10 - (101/1!)e-10 = 0,99950.
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