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Консультация № 193228
10.05.2018, 20:45
0.00 руб.
10.05.2018, 20:59
1
3
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Здравствуйте! Прошу помощи в следующем вопросе:
Производится испытание n приборов на надежность. Вероятность выдержать испытание для каждого прибора равна p . Случайная величина Х число приборов, не выдержавших испытание. Постройте ряд распределения случайной величины Х. Найдите математическое ожидание M[X] и дисперсию D[X].
Производится испытание n приборов на надежность. Вероятность выдержать испытание для каждого прибора равна p . Случайная величина Х число приборов, не выдержавших испытание. Постройте ряд распределения случайной величины Х. Найдите математическое ожидание M[X] и дисперсию D[X].
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Обсуждение
17.08.2022, 08:03
общий
это ответ
Здравствуйте, ms.asichka1995!
Случайная величина
-- количество приборов, не выдержавших испытание, -- распределена по биномиальному закону с параметрами 
(здесь удобно изменить обозначения вероятностей по сравнению с принятыми в задании). Тогда 
Чтобы показать закон распределения случайной величины
выполним расчёт:
Следовательно, закон ("ряд") распределения случайной величины такой:
Случайная величина
-- количество приборов, не выдержавших испытание, -- распределена по биномиальному закону с параметрами (здесь удобно изменить обозначения вероятностей по сравнению с принятыми в задании). Тогда Чтобы показать закон распределения случайной величины
выполним расчёт:Следовательно, закон ("ряд") распределения случайной величины
такой:
Об авторе:
Facta loquuntur.
Facta loquuntur.
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