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Консультация № 188335
06.12.2015, 06:26
0.00 руб.
06.12.2015, 13:35
0
2
1
Здравствуйте! Прошу помощи в следующем вопросе:
Случайная величина Х задана плотностью распределения:
Найти параметр С, функцию распределения F(х) случайной величины, математическое ожидание, дисперсию, среднее квадратическое отклонение, вероятность попадания этой случайной величины в интервал (-1;0,5). Построить графики функций f(x), F(x).
Случайная величина Х задана плотностью распределения:
Найти параметр С, функцию распределения F(х) случайной величины, математическое ожидание, дисперсию, среднее квадратическое отклонение, вероятность попадания этой случайной величины в интервал (-1;0,5). Построить графики функций f(x), F(x).
Обсуждение
07.12.2015, 08:43
общий
это ответ
Здравствуйте, Эльвира!
Параметр C определяем, исходя из того, что для плотности распределения должно выполняться условие
В данном случае
откуда C = 1/[$960$].
Функция распределения на отрезке [-2, 2]определяется как
При x<-2 F(x) = 0, а при x>2 F(x) = 1, то есть
Математическое ожидание:
Дисперсия:
д) Искомая вероятность:
Параметр C определяем, исходя из того, что для плотности распределения должно выполняться условие
В данном случае
откуда C = 1/[$960$].
Функция распределения на отрезке [-2, 2]определяется как
При x<-2 F(x) = 0, а при x>2 F(x) = 1, то есть
Математическое ожидание:
Дисперсия:
д) Искомая вероятность:
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