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Консультация № 186695
10.10.2012, 20:11
86.53 руб.
10.10.2012, 20:30
0
2
2
Здравствуйте! У меня возникли сложности с таким вопросом:
Поток вызовов, поступающих на АТС, можно считать простейшим. Известно, что время между двумя вызовами в среднем равно 10 сек. Какова вероятность того, что на АТС не поступит ни одного вызова в течении 5 сек?
Поток вызовов, поступающих на АТС, можно считать простейшим. Известно, что время между двумя вызовами в среднем равно 10 сек. Какова вероятность того, что на АТС не поступит ни одного вызова в течении 5 сек?
Обсуждение
10.10.2012, 20:23
общий
это ответ
Здравствуйте, Посетитель - 386361!
Интенсивность потока (вызовов в секунду):
Используя формулу Пуассона
, получим искомую вероятность:
Интенсивность потока (вызовов в секунду):
Используя формулу Пуассона
, получим искомую вероятность:
5
10.10.2012, 20:35
общий
это ответ
Здравствуйте, Посетитель - 386361!
Число вызовов, поступающих на АТС в течение времени t, - случайная величина, распределённая по закону Пуассона с параметром [$955$]t, где [$955$] = 1/10 = 0,1 звонка за секунду, t = 5 с. Тогда
Ответ: 0,607.
Число вызовов, поступающих на АТС в течение времени t, - случайная величина, распределённая по закону Пуассона с параметром [$955$]t, где [$955$] = 1/10 = 0,1 звонка за секунду, t = 5 с. Тогда
pk = e-[$955$]t([$955$]t)k/k!; p0 = e-[$955$]t = e-0,1 [$183$] 5 = e-0,5 [$8776$] 0,607.
Ответ: 0,607.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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