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Консультация № 202358
17.03.2022, 22:29
0.00 руб.
1
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1
Здравствуйте! У меня возникли сложности с таким вопросом:
Сколько изюма должны содержать в среднем сдобные булочки, чтобы вероятность попадания хотя бы одной изюминки в булку была не менее 0,99?
Прикладываю часть своего решения. Не могу разобраться, откуда мне взять q.
Сколько изюма должны содержать в среднем сдобные булочки, чтобы вероятность попадания хотя бы одной изюминки в булку была не менее 0,99?
Прикладываю часть своего решения. Не могу разобраться, откуда мне взять q.
Прикрепленные файлы:
Обсуждение
17.03.2022, 22:42
общий
Адресаты:
К сожалению, формулу Пуассона не изучали, зато изучали формулу Бернулли. Можно ли решить с помощью данной формулы?
17.03.2022, 22:56
общий
Пусть n - число булочек, k - среднее число изюминок на одну булочку, тогда 
- общее число изюминок.
Вероятность однократного ПРОМАХА по i-той булочке
, двукратного
, трехкратного 
, и так далее при 
она равна 
. Находим предел данного выражения при n, стремящемся к бесконечности, получаем, что это 
- вероятность того, что ВСЕ изюминки пройдут МИМО булочки
А дальше все как обычно:
Если k - целое, то k>=5
- общее число изюминок.Вероятность однократного ПРОМАХА по i-той булочке
, двукратного, трехкратного , и так далее при она равна . Находим предел данного выражения при n, стремящемся к бесконечности, получаем, что это - вероятность того, что ВСЕ изюминки пройдут МИМО булочкиА дальше все как обычно:
Если k - целое, то k>=5
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