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Консультация № 198416
29.04.2020, 11:34
0.00 руб.
29.04.2020, 14:26
0
1
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
В запасе ремонтной мастерской 10 колёсных дисков, три из них 15-дюймовые. Определить вероятность того, что среди взятых наугад четырех колёсных дисков два окажутся 15-дюймовыми?
В запасе ремонтной мастерской 10 колёсных дисков, три из них 15-дюймовые. Определить вероятность того, что среди взятых наугад четырех колёсных дисков два окажутся 15-дюймовыми?
Обсуждение
04.05.2020, 11:40
общий
это ответ
Здравствуйте, kiznaiver713!
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 = 10 (общее число дисков), k = 2 (15-дюймовые диски и все остальные), n[sub]1[/sub] = 3 (число 15-дюймовых дисков), n[sub]2[/sub] = 10 - 3 = 7 (число остальных дисков), m = 4 (число взятых наугад дисков), m[sub]1[/sub] = m[sub]2[/sub] = 2. Тогда вероятность того, что среди взятых наугад четырех колёсных дисков два окажутся 15-дюймовыми, 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 = 10 (общее число дисков), k = 2 (15-дюймовые диски и все остальные), n[sub]1[/sub] = 3 (число 15-дюймовых дисков), n[sub]2[/sub] = 10 - 3 = 7 (число остальных дисков), m = 4 (число взятых наугад дисков), m[sub]1[/sub] = m[sub]2[/sub] = 2. Тогда вероятность того, что среди взятых наугад четырех колёсных дисков два окажутся 15-дюймовыми, равна
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