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Консультация № 202385
21.03.2022, 03:12
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4
1
Здравствуйте! У меня возникли сложности с таким вопросом:
Сколько независимых испытаний следует провести, чтобы вероятность того, что событие A наступит 12 раз, была равна 0,077, если в отдельном испытании P(A) = 0,6?
Сколько независимых испытаний следует провести, чтобы вероятность того, что событие A наступит 12 раз, была равна 0,077, если в отдельном испытании P(A) = 0,6?
Обсуждение
21.03.2022, 19:35
общий
21.03.2022, 19:36
это ответ
Здравствуйте, svrvsvrv!
Пусть
-- искомое число испытаний. В соответствии с формулой Бернулли имеем
Используя, например, MS Excel можно установить, что наименьшее значение
при котором выполняется последнее неравенство, равно 
Проверка показывает, что
Поэтому действительно
Пусть
-- искомое число испытаний. В соответствии с формулой Бернулли имеемИспользуя, например, MS Excel можно установить, что наименьшее значение
при котором выполняется последнее неравенство, равно Проверка показывает, что
Поэтому действительно
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
22.03.2022, 02:29
общий
Адресаты:
Благодарю за ответ. Ваше решение мне понятно.
Скажите, пожалуйста: можно ли решить с помощью локальной теоремы Муавра-Лапласа? Прикладываю часть своего решения, однако оно неверное, так как я забыл, что искал х, а нужна функция от х, а не он сам. Это поставило меня в тупик. Может быть, всё же как-то можно выйти на n таким образом?
Скажите, пожалуйста: можно ли решить с помощью локальной теоремы Муавра-Лапласа? Прикладываю часть своего решения, однако оно неверное, так как я забыл, что искал х, а нужна функция от х, а не он сам. Это поставило меня в тупик. Может быть, всё же как-то можно выйти на n таким образом?
22.03.2022, 06:26
общий
Адресаты:
Здравствуйте, svrvsvrv!
Наверное, эту задачу не только можно, но и нужно решать с применением локальной теоремы Муавра -- Лапласа. Я пробовал сделать это, но у меня тоже не получилось, как и у Вас. Я не стал проявлять настойчивость и довольствовался тем решением, которое привёл выше.
Наверное, эту задачу не только можно, но и нужно решать с применением локальной теоремы Муавра -- Лапласа. Я пробовал сделать это, но у меня тоже не получилось, как и у Вас. Я не стал проявлять настойчивость и довольствовался тем решением, которое привёл выше.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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