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Консультация № 199599
13.11.2020, 18:40
0.00 руб.
14.11.2020, 14:21
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Случайная величина Х задана своей плотностью распределения:
Найти параметр С, функцию распределения случайной величины F(х), математическое ожидание, дисперсию, среднее квадратическое отклонение, вероятность попадания этой случайной величины в интервал (0,5;1).
Построить графики функций f(x), F(x).
Случайная величина Х задана своей плотностью распределения:
Найти параметр С, функцию распределения случайной величины F(х), математическое ожидание, дисперсию, среднее квадратическое отклонение, вероятность попадания этой случайной величины в интервал (0,5;1).
Построить графики функций f(x), F(x).
Прикрепленные файлы:
Обсуждение
18.11.2020, 03:39
общий
это ответ
Здравствуйте, anton_grigorov!
Параметр C определяем, исходя из того, что для плотности распределения должно выполняться условие
В данном случае
откуда C = 2.
Функция распределения на полуинтервале (0, 1] определяется как
в целом же на прямой (-[$8734$], [$8734$])
(полагаю с построением графиков функций 2x и x[sup]2[/sup] на отрезке [0,1] трудностей не возникнет).
Математическое ожидание:
Дисперсия:
Среднее квадратическое отклонение:
Искомая вероятность:
Параметр C определяем, исходя из того, что для плотности распределения должно выполняться условие
В данном случае
откуда C = 2.
Функция распределения на полуинтервале (0, 1] определяется как
в целом же на прямой (-[$8734$], [$8734$])
(полагаю с построением графиков функций 2x и x[sup]2[/sup] на отрезке [0,1] трудностей не возникнет).
Математическое ожидание:
Дисперсия:
Среднее квадратическое отклонение:
Искомая вероятность:
Форма ответа
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