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Консультация № 196587
06.10.2019, 13:07
0.00 руб.
07.10.2019, 02:51
0
1
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
случайная величина Х задана следующей дифференциальной функцией распределения
найти коэффициент а и интегральную функцию распределения F(x)
случайная величина Х задана следующей дифференциальной функцией распределения
найти коэффициент а и интегральную функцию распределения F(x)
Обсуждение
09.10.2019, 19:32
общий
это ответ
Здравствуйте, Logan_Lady!
Согласно [1, с. 55],
поэтому при
получим
Интегральная функция распределения случайной величины
согласно [2, с. 71], определяется равенством
. В Вашем случае при 
значит, в этом промежутке 
Тогда для 
Таким образом, учитывая, что при
интегральная функция распределения случайной величины 
определяется так:
Для вычисления коэффициента
воспользуемся тем, что согласно [1, с. 71],
Значит,
Окончательно,
Литература
1. Цыпкин А. Г., Цыпкин Г. Г. Математические формулы. -- М.: Наука, 1985. -- 128 с.
2. Письменный Д. Т. Конспект лекций по теории вероятностей, математической статистике и случайным процессам. -- М.: Айрис.-пресс, 2007. -- 288 с.
Если Вы хотите воспользоваться моим решением, то проверьте его, чтобы избежать ошибок.
Согласно [1, с. 55],
поэтому при
получимИнтегральная функция распределения случайной величины
согласно [2, с. 71], определяется равенством. значит, в этом промежутке Тогда для Таким образом, учитывая, что при
интегральная функция распределения случайной величины определяется так:Для вычисления коэффициента
воспользуемся тем, что согласно [1, с. 71],Значит,
Окончательно,
Литература
1. Цыпкин А. Г., Цыпкин Г. Г. Математические формулы. -- М.: Наука, 1985. -- 128 с.
2. Письменный Д. Т. Конспект лекций по теории вероятностей, математической статистике и случайным процессам. -- М.: Айрис.-пресс, 2007. -- 288 с.
Если Вы хотите воспользоваться моим решением, то проверьте его, чтобы избежать ошибок.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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