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Консультация № 187045

24.12.2012, 20:21

85.93 руб.

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Образование

Здравствуйте! Прошу помощи в следующем вопросе:

[size=4]ЗАДАЧА №3[/size]

Обсуждение

давно

Орловский Дмитрий

Мастер-Эксперт
319965
1463

24.12.2012, 21:14

общий

это ответ

Здравствуйте, Посетитель - 395735!
Вероятность того, что отклонение частоты от вероятности успеха в схеме Бернулли
не превосходит e вычисляется по формуле 2Ф(e[$8730$](n/(p(1-p)))), где Ф - функция Лапласа.
Отсюда находим значение функции Лапласа Ф(x)=0,997/2=0,4985. По таблице находим
соответствующее значение аргумента x=2,96. Далее решаем уравнение
e[$8730$](n/(p(1-p)))=x ----> n=p(1-p)(x/e)².
Подставляем заданные значения p=0,85 и e=0,01:
n=0,85*0,15*(2,96/0,01)²=11171,04

Ответ: n=11172

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