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Консультация № 202338
16.03.2022, 12:46
0.00 руб.
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6
1
Здравствуйте! У меня возникли сложности с таким вопросом:
Случайная величина Е задана функцией плотности распределения f(x)
Найдите: 1)функцию распределения Р(х) и необходимый константы
2)математическое ожидание,дисперсию и среднее квадратическое отклонение
3)вероятность попадания случайной величины Е в интервал(а,B)
Построить графики распределения Р(х) и плотность распределения f(x)
a при x<= - 3/2п
f(x) = acos x/3 при - 3/2п < x <= 3/2п а=п/2, В = 3/4п
0 при х> 3/2п
Случайная величина Е задана функцией плотности распределения f(x)
Найдите: 1)функцию распределения Р(х) и необходимый константы
2)математическое ожидание,дисперсию и среднее квадратическое отклонение
3)вероятность попадания случайной величины Е в интервал(а,B)
Построить графики распределения Р(х) и плотность распределения f(x)
a при x<= - 3/2п
f(x) = acos x/3 при - 3/2п < x <= 3/2п а=п/2, В = 3/4п
0 при х> 3/2п
Обсуждение
18.03.2022, 21:31
общий
Адресаты:
Здравствуйте, rrrffggh! Что из предложенного Вам задания Вы не можете выполнить самостоятельно?
Об авторе:
Facta loquuntur.
Facta loquuntur.
19.03.2022, 08:09
общий
Гордиенко Андрей Владимирович Здравствуйте, rrrffggh! Что из предложенного Вам задания Вы не можете выполнить самостоятельно? Андрей Владимирович, я само задание не могу выполнить самостоятельно(
19.03.2022, 09:11
общий
Адресаты:
Чтобы вычислить величину 
воспользуйтесь тем, что 
воспользуйтесь тем, что
Об авторе:
Facta loquuntur.
Facta loquuntur.
20.03.2022, 07:32
общий
это ответ
Здравствуйте, rrrffggh!
Обозначим случайную величину буквой
Воспользуемся тем, что Тогда получим, что 
(вычисление интеграла показано здесь: Ссылка >>). Следовательно,
-- дифференциальная функция, или плотность, распределения случайной величины
-- интегральная функция распределения случайной величины
(вычисление интеграла показано здесь: Ссылка >>);
-- вероятность попадания случайной величины в интервал 
-- математическое ожидание случайной величины (вычисление интеграла показано здесь: Ссылка >>);
-- дисперсия случайной величины вычисление интеграла показано здесь: Ссылка >>);
-- среднее квадратическое отклонение случайной величины
Графики функций
и 
показаны в прикреплённых файлах.
Обозначим случайную величину буквой
Воспользуемся тем, что Тогда получим, что (вычисление интеграла показано здесь: Ссылка >>). Следовательно,-- дифференциальная функция, или плотность, распределения случайной величины
-- интегральная функция распределения случайной величины
(вычисление интеграла показано здесь: Ссылка >>);-- вероятность попадания случайной величины
в интервал -- математическое ожидание случайной величины
(вычисление интеграла показано здесь: Ссылка >>);-- дисперсия случайной величины
вычисление интеграла показано здесь: Ссылка >>);-- среднее квадратическое отклонение случайной величины
Графики функций
и показаны в прикреплённых файлах.
Прикрепленные файлы:
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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