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Консультация № 202628
17.04.2022, 12:54
0.00 руб.
23.04.2022, 07:00
1
1
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Найдите значения параметров [$945$] и [$946$], при которых функция (на фото) будет функцией распределения некоторой непрерывной СВ X. Чему будет равна вероятность попадания этой СВ X в полуинтервал [1;2)? Найдите её моду, медиану, математическое ожидание, дисперсию и среднеквадратическое отклонение.
Найдите значения параметров [$945$] и [$946$], при которых функция (на фото) будет функцией распределения некоторой непрерывной СВ X. Чему будет равна вероятность попадания этой СВ X в полуинтервал [1;2)? Найдите её моду, медиану, математическое ожидание, дисперсию и среднеквадратическое отклонение.
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Обсуждение
19.04.2022, 06:51
общий
это ответ
Здравствуйте, svrvsvrv!
Ввиду непрерывности функции интегральной функции распределения имеем
то есть 
Тогда
учитывая, что случайная величина распределена равномерно, можно было сразу записать, что
моды равномерное распределение не имеет;
медиана равномерного распределения равна математическому ожиданию, так как равномерное распределение симметрично относительно математического ожидания, то есть
Ввиду непрерывности функции интегральной функции распределения имеем
то есть Тогдаучитывая, что случайная величина распределена равномерно, можно было сразу записать, что
моды равномерное распределение не имеет;
медиана равномерного распределения равна математическому ожиданию, так как равномерное распределение симметрично относительно математического ожидания, то есть
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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