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Консультация № 193497
29.08.2018, 10:04
0.00 руб.
29.08.2018, 11:02
0
3
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Случайная величина X задана дифференциальной функцией f(x)=sinx в интервале (0;0,5π), вне этого интервала f(x)=0. Требуется:
1) найти интегральную функцию
2)вычислить математическое ожидание и дисперсию X
3)построить графики интегральной и дифференциальной функций
Случайная величина X задана дифференциальной функцией f(x)=sinx в интервале (0;0,5π), вне этого интервала f(x)=0. Требуется:
1) найти интегральную функцию
2)вычислить математическое ожидание и дисперсию X
3)построить графики интегральной и дифференциальной функций
Обсуждение
29.08.2018, 11:03
общий
Обратите внимание на данную консультацию, перенесённую из другого раздела.
Об авторе:
Facta loquuntur.
Facta loquuntur.
29.08.2018, 11:03
общий
Адресаты:
Что мешает Вам самостоятельно ответить на вопрос?
Об авторе:
Facta loquuntur.
Facta loquuntur.
13.08.2022, 23:36
общий
13.08.2022, 23:49
это ответ
Здравствуйте, antonksyusha!
В Вашем случае дифференциальная функция распределения случайной величины
согласно условию задачи, суть 
Тогда
1)
2)
(вычисление интеграла смотрите в первом прикреплённом файле и здесь: Ссылка >>) -- математическое ожидание случайной величины 
;
(вычисление интеграла смотрите во втором прикреплённом файле и здесь: Ссылка >>) -- дисперсия случайной величины 
3) графики функций
и 
показаны в третьем и четвёртом прикреплённых файлах соответственно.
В Вашем случае дифференциальная функция распределения случайной величины
согласно условию задачи, суть Тогда1)
2)
(вычисление интеграла смотрите в первом прикреплённом файле и здесь: Ссылка >>) -- математическое ожидание случайной величины ; (вычисление интеграла смотрите во втором прикреплённом файле и здесь: Ссылка >>) -- дисперсия случайной величины 3) графики функций
и показаны в третьем и четвёртом прикреплённых файлах соответственно.
Прикрепленные файлы:
Об авторе:
Facta loquuntur.
Facta loquuntur.
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