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Консультация № 199686
22.11.2020, 12:59
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Вероятность того, что купленный телевизор не потребует ремонта в течение гарантийного срока, равна 0,8. Оцените вероятность того, что из 600 проданных телевизоров доля таких, которые не потребуют гарантийного ремонта будет от 0,78 до 0,82. Ответ: не менее 1/3.
Вероятность того, что купленный телевизор не потребует ремонта в течение гарантийного срока, равна 0,8. Оцените вероятность того, что из 600 проданных телевизоров доля таких, которые не потребуют гарантийного ремонта будет от 0,78 до 0,82. Ответ: не менее 1/3.
Обсуждение
22.04.2022, 11:57
общий
это ответ
Здравствуйте, yulianna4425!
Для Вас, скорее всего, данная задача уже неактуальна, но я приведу её решение для других возможных посетителей.
Для вычисления искомой вероятности можно воспользоваться интегральной теоремой Муавра -- Лапласа (формулировка приведена в первом прикреплённом файле). При
получим
Но в задаче требуется эту вероятность не вычислить, а "оценить". Воспользуемся для этого неравенством Чебышёва (второй прикреплённый файл). В соответствии с последней из указанных во втором прикреплённом файле формул получим при
что
Для Вас, скорее всего, данная задача уже неактуальна, но я приведу её решение для других возможных посетителей.
Для вычисления искомой вероятности можно воспользоваться интегральной теоремой Муавра -- Лапласа (формулировка приведена в первом прикреплённом файле). При
получимНо в задаче требуется эту вероятность не вычислить, а "оценить". Воспользуемся для этого неравенством Чебышёва (второй прикреплённый файл). В соответствии с последней из указанных во втором прикреплённом файле формул получим при
что
Прикрепленные файлы:
Об авторе:
Facta loquuntur.
Facta loquuntur.
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