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Консультация № 187004
19.12.2012, 23:32
78.80 руб.
20.12.2012, 16:45
0
1
1
Здравствуйте! Прошу помощи в следующем вопросе:
Функция распределения некоторой случайной величины Х задана:
Определить симметричный относительно М(Х) интервал, вероятность попадания в который равна 0,99.
Функция распределения некоторой случайной величины Х задана:
Определить симметричный относительно М(Х) интервал, вероятность попадания в который равна 0,99.
Обсуждение
20.12.2012, 00:03
общий
это ответ
Здравствуйте, roover!
Плотность распределения есть, очевидно
при 0<=x<=1 и 0 при остальных x.
.
Если интервал целиком лежит в [0,1], то
.
Откуда
и интервал есть 
- залезает за границу.
Так что интервал найдётся из
.
.
Откуда
или
.
Первый корень не подходит, т.к. a, по смыслу построения, должна быть меньше 2/3. Поэтому
и ис комый интервал есть
.
Плотность распределения есть, очевидно
при 0<=x<=1 и 0 при остальных x..Если интервал целиком лежит в [0,1], то
.Откуда
и интервал есть - залезает за границу.Так что интервал найдётся из
..Откуда
или
.Первый корень не подходит, т.к. a, по смыслу построения, должна быть меньше 2/3. Поэтому
и ис комый интервал есть
.
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