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Консультация № 188419
13.12.2015, 15:02
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Здравствуйте! Прошу помощи в следующем вопросе:
Вероятность положительного исхода отдельного испытания 0.7. Пользуясь теоремой Бернулли, оценить вероятность того, что при 2000 независимых повторных испытаниях отклонение частоты положительных исходов от вероятности при отдельном испытании по абсолютной величине будет меньше 0.06.
Вероятность положительного исхода отдельного испытания 0.7. Пользуясь теоремой Бернулли, оценить вероятность того, что при 2000 независимых повторных испытаниях отклонение частоты положительных исходов от вероятности при отдельном испытании по абсолютной величине будет меньше 0.06.
Обсуждение
14.12.2015, 04:40
общий
это ответ
Здравствуйте, MindKiller!
Пусть вероятность наступления события в отдельном испытании равна p и при проведении n независимых испытаний ожидается наступление m событий. Предполагается, что частота наступления m/n близка к p. Согласно теореме Бернулли, вероятность отклонения частоты m/n от ожидаемой p на величину, не превышающую [$949$], определяется неравенством:
В данном случае p = 0.7, n = 2000 и [$949$] = 0.06, следовательно,
Пусть вероятность наступления события в отдельном испытании равна p и при проведении n независимых испытаний ожидается наступление m событий. Предполагается, что частота наступления m/n близка к p. Согласно теореме Бернулли, вероятность отклонения частоты m/n от ожидаемой p на величину, не превышающую [$949$], определяется неравенством:
В данном случае p = 0.7, n = 2000 и [$949$] = 0.06, следовательно,
5
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