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Консультация № 185868
21.04.2012, 09:32
62.88 руб.
0
3
1
Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Железнодорожный состав состоит из n вагонов, каждый из которых с вероятностью р0 имеет дефект. Все вагоны осматривают независимо друг от друга 2 осмотрщика, первый из них обнаруживает дефект (если он есть) с вероятностью p1, а второй - с вероятностью p2. Если ни в одном из вагонов не обнаружено дефекта, состав отправляется в рейс. Найти вероятность события А = {в рейс идёт состав, в котором хотя бы один дефектный вагон}.
Железнодорожный состав состоит из n вагонов, каждый из которых с вероятностью р0 имеет дефект. Все вагоны осматривают независимо друг от друга 2 осмотрщика, первый из них обнаруживает дефект (если он есть) с вероятностью p1, а второй - с вероятностью p2. Если ни в одном из вагонов не обнаружено дефекта, состав отправляется в рейс. Найти вероятность события А = {в рейс идёт состав, в котором хотя бы один дефектный вагон}.
Обсуждение
21.04.2012, 14:37
общий
Адресаты:
А почему A и C несовместны? Если я правильно понял, то C - частный случай A.
21.04.2012, 15:06
общий
21.04.2012, 15:24
Адресаты:
B = {в составе нет ни одного вагона, имеющего дефект}
C = {все вагоны в составе дефектные, и это определено}
Поскольку события A, B, C несовместны, постольку p(A + B + C) = p(A) + p(B) + p(C) = 1
Теперь C - не частный случай A, но есть ещё события вида "не все вагоны дефектные и это определено", так что P(A+B+C) < 1.
Как бы то ни было, получилось, что задача распалась на две трактовки: моя - что надо узнать вероятность того, что вышедший в рейс поезд неисправен; и ваша - что поезд могут в рейс и не выпустить.
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