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Консультация № 188418
13.12.2015, 15:01
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Здравствуйте! У меня возникли сложности с таким вопросом:
Найти параметр С, математическое ожидание и дисперсию показательного распределения, заданного плотностью распределения
f(x) = C * e^(-5x) (x >= 0)
Найти вероятность того, что в результате испытания случайная величина X попадет в интервал (0,1; 0,2).
Найти параметр С, математическое ожидание и дисперсию показательного распределения, заданного плотностью распределения
f(x) = C * e^(-5x) (x >= 0)
Найти вероятность того, что в результате испытания случайная величина X попадет в интервал (0,1; 0,2).
Обсуждение
18.12.2015, 03:47
общий
это ответ
Здравствуйте, MindKiller!
Параметр C определяем, исходя из того, что для плотности распределения должно выполняться условие
В данном случае
откуда C = 5.
Функция распределения на отрезке [0, +[$8734$]) определяется как
При x<0 F(x) = 0, поэтому
Математическое ожидание:
Дисперсия:
д) Искомая вероятность:
Параметр C определяем, исходя из того, что для плотности распределения должно выполняться условие
В данном случае
откуда C = 5.
Функция распределения на отрезке [0, +[$8734$]) определяется как
При x<0 F(x) = 0, поэтому
Математическое ожидание:
Дисперсия:
д) Искомая вероятность:
5
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