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Консультация № 188272
29.11.2015, 14:43
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Здравствуйте! У меня возникли сложности c данной задачей, помогите пожалуйста.Используя неравенство Чебышева, оценить вероятность того, что случайная величина с дисперсией 0,0361 отклонится от математического ожидания менее, чем на 0,19.
Обсуждение
30.11.2015, 05:27
общий
это ответ
Здравствуйте, Эльвира!
Неравенство Чебышева ограничивает сверху вероятность того, что случайная величина X с конечными математическим ожиданием MX и дисперсией DX отклоняется от своего среднего (т.е. математического ожидания) на величину, большую заданной:
Отсюда можно получить оценку для вероятности отклонения на величину, меньшую заданной:
В данном случае DX = 0.0361 и x = 0.19, поэтому
Неравенство Чебышева ограничивает сверху вероятность того, что случайная величина X с конечными математическим ожиданием MX и дисперсией DX отклоняется от своего среднего (т.е. математического ожидания) на величину, большую заданной:
Отсюда можно получить оценку для вероятности отклонения на величину, меньшую заданной:
В данном случае DX = 0.0361 и x = 0.19, поэтому
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