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Консультация № 202465
26.03.2022, 23:55
0.00 руб.
01.04.2022, 16:06
1
1
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Диаметр болтов подчиняется нормальному распределению с параметрами M(X) = 20, [$963$] = 0,1. Найти плотность распределения и количество болтов размером меньше 19,9, если всего болтов 12 шт.
Диаметр болтов подчиняется нормальному распределению с параметрами M(X) = 20, [$963$] = 0,1. Найти плотность распределения и количество болтов размером меньше 19,9, если всего болтов 12 шт.
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Обсуждение
27.03.2022, 06:56
общий
это ответ
Здравствуйте, klombisa!
Как я понял из условия задачи, в Вашем случае
Значит, плотность распределения случайной величины 
которая распределена по нормальному закону, выражается формулой
Будем считать, что диаметр болтов находится в интервале
то есть 
Тогда вероятность того, что диаметр болта меньше 
мм(?), в соответствии с формулой
составляет
Тогда количество болтов с диаметром меньше мм(?), равно 
Как я понял из условия задачи, в Вашем случае
Значит, плотность распределения случайной величины которая распределена по нормальному закону, выражается формулойБудем считать, что диаметр болтов находится в интервале
то есть Тогда вероятность того, что диаметр болта меньше мм(?), в соответствии с формулойсоставляет
Тогда количество болтов с диаметром меньше
мм(?), равно
5
спасибо!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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