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Консультация № 201557
27.10.2021, 01:19
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Вероятность того что некоторое электронное устройство выйдет из строя в гарантийный срок равна p=0,12. Найти вероятность того что из 1000 купленных устройств в период гарантии выйдут из строя 114 устройств.
Буду очень благодарен :)
Вероятность того что некоторое электронное устройство выйдет из строя в гарантийный срок равна p=0,12. Найти вероятность того что из 1000 купленных устройств в период гарантии выйдут из строя 114 устройств.
Буду очень благодарен :)
Обсуждение
28.10.2021, 19:08
общий
это ответ
Здравствуйте, DanilaKotov3619!
Попробуем воспользоваться формулой Бернулли при
используя инженерный калькулятор в операционной системе MS Windows-10. Тогда получим
Как видно, возможности современной вычислительной техники позволяют выполнять расчёты, которые раньше выполнялись по приближённым формулам Пуассона и Муавра -- Лапласа.
Проверим, каким буде результат расчёта по формуле Пуассона. В Вашем случае
и
что достаточно близко к ранее полученному результату. Поэтому я предполагаю, что результат вычисления по формуле Бернулли правильный. Вы можете, если Вам хочется или нужно, рассчитать искомую вероятность по локальной формуле Муавра -- Лапласа.
Попробуем воспользоваться формулой Бернулли при
используя инженерный калькулятор в операционной системе MS Windows-10. Тогда получимКак видно, возможности современной вычислительной техники позволяют выполнять расчёты, которые раньше выполнялись по приближённым формулам Пуассона и Муавра -- Лапласа.
Проверим, каким буде результат расчёта по формуле Пуассона. В Вашем случае
ичто достаточно близко к ранее полученному результату. Поэтому я предполагаю, что результат вычисления по формуле Бернулли правильный. Вы можете, если Вам хочется или нужно, рассчитать искомую вероятность по локальной формуле Муавра -- Лапласа.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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