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Консультация № 202721
05.05.2022, 15:31
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
В ящике содержится 12 деталей завода №1, 20 деталей завода №2, 18
деталей завода №3. Вероятность того, что деталь завода №1 отличного
качества, равна 0,9; для деталей заводов №2 и №3 эти вероятности
соответственно равны 0,6 и 0,9. Найти вероятность того, что извлеченная
наудачу деталь окажется отличного качества.
В ящике содержится 12 деталей завода №1, 20 деталей завода №2, 18
деталей завода №3. Вероятность того, что деталь завода №1 отличного
качества, равна 0,9; для деталей заводов №2 и №3 эти вероятности
соответственно равны 0,6 и 0,9. Найти вероятность того, что извлеченная
наудачу деталь окажется отличного качества.
Обсуждение
06.05.2022, 20:34
общий
это ответ
Здравствуйте, maria2609_89!
Вероятности того, что извлечённая деталь изготовлена на заводах № 1, № 2, № 3, составляют соответственно
Вероятности того, что извлечённая деталь отличного качества, будучи изготовленной на заводах № 1, № 2, № 3, составляют соответственно 
Тогда по формуле полной вероятности искомая составляет
Вероятности того, что извлечённая деталь изготовлена на заводах № 1, № 2, № 3, составляют соответственно
Вероятности того, что извлечённая деталь отличного качества, будучи изготовленной на заводах № 1, № 2, № 3, составляют соответственно Тогда по формуле полной вероятности искомая составляет
5
Спасибо большое!!!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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