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Консультация № 202942
29.05.2022, 22:33
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Вероятность того, что стодолларовая купюра фальшивая, равна 0,002. 1). Найти наиболее вероятное число фальшивых купюр среди 400, а также вероятность такого количества купюр. 2).Найти вероятность того, что с 400 купюр хотя бы одна окажется фальшивой.
Вероятность того, что стодолларовая купюра фальшивая, равна 0,002. 1). Найти наиболее вероятное число фальшивых купюр среди 400, а также вероятность такого количества купюр. 2).Найти вероятность того, что с 400 купюр хотя бы одна окажется фальшивой.
Обсуждение
30.05.2022, 19:58
общий
это ответ
Здравствуйте, Julius Caesar!
В рассматриваемом случае
Для расчёта наиболее вероятного числа
фальшивых купюр воспользуемся известным двойным неравенством 
Тогда получим, что
то есть
Вероятность того, что среди 400 купюр нет фальшивых, согласно формуле Бернулли, составляет
Вероятность того, что среди 400 купюр есть хотя бы одна фальшивая, составляет
В рассматриваемом случае
Для расчёта наиболее вероятного числа
фальшивых купюр воспользуемся известным двойным неравенством Тогда получим, чтото есть
Вероятность того, что среди 400 купюр нет фальшивых, согласно формуле Бернулли, составляет
Вероятность того, что среди 400 купюр есть хотя бы одна фальшивая, составляет
Об авторе:
Facta loquuntur.
Facta loquuntur.
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