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Консультация № 173487
20.10.2009, 23:31
0.00 руб.
0
2
2
Здравствуйте, уважаемые эксперты!
Заранее спасибо!
При массовом производстве полупроводниковых диодов вероятность брака при формовке равна 0,1. Найти вероятность того, что из восьми диодов, проверяемых ОТК, бракованных будет:
а) два;
б) не менее двух;
в) не более двух.
Заранее спасибо!
При массовом производстве полупроводниковых диодов вероятность брака при формовке равна 0,1. Найти вероятность того, что из восьми диодов, проверяемых ОТК, бракованных будет:
а) два;
б) не менее двух;
в) не более двух.
Обсуждение
Неизвестный
21.10.2009, 01:46
общий
это ответ
Здравствуйте, Волков Сергей Юриевич.
Задача на применение формулы Бернулли: Pm,n = Cnmpmqn-m.
Здесь p = 0,1; q = 1 - p = 1 - 0,1 = 0,9.
a) P2,8 = C82 * 0,12 * 0,96 = 0,14880;
б) P8(m ≤ 2) = P0,8 + P1,8 + P2,8 =
= C80 * 0,10 * 0,98 + C81 * 0,11 * 0,97 + C82 * 0,12 * 0,96 =
= 0,430467 + 0,382638 + 0,148803 = 0,96191.
в) P8(m ≥ 2) = 1 - P8(m < 2) = 1 - (P0,8 + P1,8) = 1 - (0,430467 + 0,382638) = 0,18690.
Задача на применение формулы Бернулли: Pm,n = Cnmpmqn-m.
Здесь p = 0,1; q = 1 - p = 1 - 0,1 = 0,9.
a) P2,8 = C82 * 0,12 * 0,96 = 0,14880;
б) P8(m ≤ 2) = P0,8 + P1,8 + P2,8 =
= C80 * 0,10 * 0,98 + C81 * 0,11 * 0,97 + C82 * 0,12 * 0,96 =
= 0,430467 + 0,382638 + 0,148803 = 0,96191.
в) P8(m ≥ 2) = 1 - P8(m < 2) = 1 - (P0,8 + P1,8) = 1 - (0,430467 + 0,382638) = 0,18690.
5
Неизвестный
21.10.2009, 10:16
общий
это ответ
Здравствуйте, Волков Сергей Юриевич.
Это Схема Бернулли.
P = C(n,k)* p**k *(1-p)**(n-k)
a) два: P = C(8,2)* 0,1**2 *0,9**6 = 0.14880348
б) Не менее двух: это противоположное событие 0 брака либо 1 брак
P = 1 - (C(8,0)* 0,1**0 *0,9**8 + C(8,1)* 0,1**1 *0,9**7) = 1- (0.43046721+0.38263752) = 0.1869
a) не более двух - это событие - 0 брака либо 1 брак либо 2 брак
P = C(8,0)* 0,1**0 *0,9**8 + C(8,1)* 0,1**1 *0,9**7 + C(8,2)* 0,1**2 *0,9**6 = 0.43046721+0.38263752+0.14880348 = 0.96191
Это Схема Бернулли.
P = C(n,k)* p**k *(1-p)**(n-k)
a) два: P = C(8,2)* 0,1**2 *0,9**6 = 0.14880348
б) Не менее двух: это противоположное событие 0 брака либо 1 брак
P = 1 - (C(8,0)* 0,1**0 *0,9**8 + C(8,1)* 0,1**1 *0,9**7) = 1- (0.43046721+0.38263752) = 0.1869
a) не более двух - это событие - 0 брака либо 1 брак либо 2 брак
P = C(8,0)* 0,1**0 *0,9**8 + C(8,1)* 0,1**1 *0,9**7 + C(8,2)* 0,1**2 *0,9**6 = 0.43046721+0.38263752+0.14880348 = 0.96191
5
Форма ответа
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