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Консультация № 186977
18.12.2012, 23:38
86.53 руб.
0
2
2
Здравствуйте! У меня возникли сложности с таким вопросом:
1 задание
номер варианта 17
1 задание
номер варианта 17
Обсуждение
19.12.2012, 08:51
общий
это ответ
Здравствуйте, roover!
Дифференцируя выражение для функции распределения, получим при
(вне этого промежутка плотность распределения принимает нулевое значение).
а) Чтобы найти величину
воспользуемся свойством нормированности: 
Получим
б) Для плотности распределения вероятностей случайной величины
находим
в) Находим математическое ожидание
и дисперсию 
случайной величины 
г) Находим вероятность попадания случайной величины в интервал 
С уважением.
Дифференцируя выражение для функции распределения, получим при
а) Чтобы найти величину
воспользуемся свойством нормированности: Получимб) Для плотности распределения вероятностей случайной величины
находимв) Находим математическое ожидание
и дисперсию случайной величины г) Находим вероятность попадания случайной величины
в интервал С уважением.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
19.12.2012, 08:55
общий
это ответ
Здравствуйте, roover!
1. Функция распределения для данного варианта будет иметь вид:
или
а) Параметр C определяем, исходя из того, что функция распределения должна быть непрерывной и монотонно неубывающей, то есть выражение C(2x+17)[sup]2[/sup] должно равняться 0 при x = -17/2 и 1 при x = 17/2. Это выполняется при C = 1/34[sup]2[/sup] = 1/1156, то есть
б) Плотность распределения:
в) Математическое ожидание:
г) Дисперсия:
д) Искомая вероятность:
1. Функция распределения для данного варианта будет иметь вид:
или
а) Параметр C определяем, исходя из того, что функция распределения должна быть непрерывной и монотонно неубывающей, то есть выражение C(2x+17)[sup]2[/sup] должно равняться 0 при x = -17/2 и 1 при x = 17/2. Это выполняется при C = 1/34[sup]2[/sup] = 1/1156, то есть
б) Плотность распределения:
в) Математическое ожидание:
г) Дисперсия:
д) Искомая вероятность:
5
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