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Консультация № 174373
19.11.2009, 14:31
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Вероятность появления события в каждом из независимых испытаний равна 0,8. Составить таблицу распределения чисел появлений события при 3 испытаниях. Найти математическое ожидание и среднее квадратическое отклонение данной случайной величины.
Заранее спасибо
Заранее спасибо
Обсуждение
29.08.2022, 08:17
общий
это ответ
Здравствуйте, Анатолий Олегович!
Случайная величина
-- количество появлений события при 
испытаниях -- распределена по биномиальному закону с параметрами 
и может принимать значения от нуля до трёх. Вычислим соответствующие вероятности, по формуле Бернулли 
По результатам расчёта составим таблицу распределения:
Используя известные для биномиального распределения формулы, вычислим искомые величины:
-- математическое ожидание случайной величины 
-- среднее квадратическое отклонение случайной величины 
Искомые величины можно вычислить и так:
Случайная величина
-- количество появлений события при испытаниях -- распределена по биномиальному закону с параметрами и может принимать значения от нуля до трёх. Вычислим соответствующие вероятности, по формуле Бернулли По результатам расчёта составим таблицу распределения:
Используя известные для биномиального распределения формулы, вычислим искомые величины:
-- математическое ожидание случайной величины -- среднее квадратическое отклонение случайной величины Искомые величины можно вычислить и так:
Об авторе:
Facta loquuntur.
Facta loquuntur.
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