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Консультация № 203258
12.10.2022, 13:07
0.00 руб.
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3
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Дана функция распределения F(x) СВ X. Найти плотность
распределения вероятностей f(x), математическое ожидание M(X),
дисперсию D(X), среднее квадратическое отклонение
и
вероятность попадания СВ X на отрезок
[a;b]. Построить графики
функций F(x) и f(x).
Продолжение прикреплено в дополнительном файле.
Дана функция распределения F(x) СВ X. Найти плотность
распределения вероятностей f(x), математическое ожидание M(X),
дисперсию D(X), среднее квадратическое отклонение
и
вероятность попадания СВ X на отрезок
[a;b]. Построить графики
функций F(x) и f(x).
Продолжение прикреплено в дополнительном файле.
Прикрепленные файлы:
Обсуждение
16.10.2022, 19:18
общий
17.10.2022, 06:17
это ответ
Здравствуйте, svrvsvrv!
Пусть случайная величина
задана интегральной функцией распределения
(график этой функции показан в первом прикреплённом файле). Тогда дифференциальная функция распределения суть
(график этой функции показан во втором прикреплённом файле).
Вычислим вероятность попадания случайной величины на отрезок 
Вычислим математическое ожидание случайной величины
Вычислим дисперсию случайной величины
тогда
-- среднее квадратическое отклонение случайной величины
Пусть случайная величина
задана интегральной функцией распределения(график этой функции показан в первом прикреплённом файле). Тогда дифференциальная функция распределения суть
(график этой функции показан во втором прикреплённом файле).
Вычислим вероятность попадания случайной величины
на отрезок Вычислим математическое ожидание случайной величины
Вычислим дисперсию случайной величины
тогда
-- среднее квадратическое отклонение случайной величины
Прикрепленные файлы:
5
Благодарю Вас за ответ!
Об авторе:
Facta loquuntur.
Facta loquuntur.
16.10.2022, 21:15
общий
Адресаты:
Андрей Владимирович, добрый вечер.
Находил вероятность попадания случайной величины X на отрезок [0;1] по интегральной функции распределения, а не по дифференциальной, как у Вас, поэтому получился другой ответ.
Находил вероятность попадания случайной величины X на отрезок [0;1] по интегральной функции распределения, а не по дифференциальной, как у Вас, поэтому получился другой ответ.
Форма ответа
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