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Консультация № 198678
23.05.2020, 08:45
0.00 руб.
27.05.2020, 14:30
0
1
1
Здравствуйте, уважаемые эксперты! Прошу вас помочь в решить задачи:
В партии из 12 деталей находятся 5 бракованных. Вынимают из партии наудачу 4
детали. Определить, какова вероятность того, что все окажутся бракованными.
В партии из 12 деталей находятся 5 бракованных. Вынимают из партии наудачу 4
детали. Определить, какова вероятность того, что все окажутся бракованными.
Обсуждение
27.05.2020, 18:16
общий
это ответ
Здравствуйте, master87!
В общем случае, если имеется n объектов, разделённых на k групп, содержащих соответственно n[sub]1[/sub], n[sub]2[/sub],...n[sub]k[/sub] объектов (n[sub]1[/sub] + n[sub]2[/sub] + ... + n[sub]k[/sub] = n), и производится выборка m объектов (m[$8804$]n), то вероятность того, что среди них будет m[sub]1[/sub] объектов из первой группы, m[sub]2[/sub] - из второй,... m[sub]k[/sub] из k-ой группы (m[sub]1[/sub] + m[sub]2[/sub] + ... + m[sub]k[/sub] = m), равна
В данном случае n = 12 (общее число деталей), k = 2 (бракованные и нормальные детали), n[sub]1[/sub] = 5 (число бракованных деталей), n[sub]2[/sub] = 12 - 5 = 7 (число нормальных деталей), m = 4 (число взятых наудачу деталей), m[sub]1[/sub] = 4 и m[sub]2[/sub] = 0 (все вынутые детали бракованы). Тогда вероятность того, что среди вынутых наудачу четырех деталей все окажутся бракованными, равна
В общем случае, если имеется n объектов, разделённых на k групп, содержащих соответственно n[sub]1[/sub], n[sub]2[/sub],...n[sub]k[/sub] объектов (n[sub]1[/sub] + n[sub]2[/sub] + ... + n[sub]k[/sub] = n), и производится выборка m объектов (m[$8804$]n), то вероятность того, что среди них будет m[sub]1[/sub] объектов из первой группы, m[sub]2[/sub] - из второй,... m[sub]k[/sub] из k-ой группы (m[sub]1[/sub] + m[sub]2[/sub] + ... + m[sub]k[/sub] = m), равна
В данном случае n = 12 (общее число деталей), k = 2 (бракованные и нормальные детали), n[sub]1[/sub] = 5 (число бракованных деталей), n[sub]2[/sub] = 12 - 5 = 7 (число нормальных деталей), m = 4 (число взятых наудачу деталей), m[sub]1[/sub] = 4 и m[sub]2[/sub] = 0 (все вынутые детали бракованы). Тогда вероятность того, что среди вынутых наудачу четырех деталей все окажутся бракованными, равна
5
Спасибо!
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