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Консультация № 190101
20.11.2016, 18:48
0.00 руб.
21.11.2016, 08:37
0
5
1
Здравствуйте! Прошу помощи в следующем вопросе:
1. Задан вид плотности распределения f(x) случайной величины Х. Найти а, функцию распределения F(x), математическое ожидание M(x), дисперсию D(x), среднеквадратическое отклонение бх и вероятность P(x>b).
_f(x)=a(x-2)(1(x-2)-1(x-4))+a(6-x)(1(x-4)-1(x-6)); b=2.8
_f(x)=acos в квадрате x(1(x+пи/2)-1(x-пи/2)) b=пи/4
2. Расстояние до цели измеряется прибором, для которого срединное отклонение равно M1. Считая вычисленное расстояние НСВ с нормальным распределением, МО которой равно истинному расстоянию, определить вероятность события М2.
М1=50
М2:Δx<20
1. Задан вид плотности распределения f(x) случайной величины Х. Найти а, функцию распределения F(x), математическое ожидание M(x), дисперсию D(x), среднеквадратическое отклонение бх и вероятность P(x>b).
_f(x)=a(x-2)(1(x-2)-1(x-4))+a(6-x)(1(x-4)-1(x-6)); b=2.8
_f(x)=acos в квадрате x(1(x+пи/2)-1(x-пи/2)) b=пи/4
2. Расстояние до цели измеряется прибором, для которого срединное отклонение равно M1. Считая вычисленное расстояние НСВ с нормальным распределением, МО которой равно истинному расстоянию, определить вероятность события М2.
М1=50
М2:Δx<20
Обсуждение
21.11.2016, 08:39
общий
Обратите, пожалуйста, внимание на эту консультацию, перенесённую из другого раздела.
Об авторе:
Facta loquuntur.
Facta loquuntur.
21.11.2016, 08:53
общий
Адресаты:
Будьте добры, прикрепите Ваше условие фотографией, очень непонятна функция распределения
21.11.2016, 10:03
общий
Адресаты:
Если, например, 
то после упрощений получим 
Тогда нужно знать, на каком интервале распределена случайная величина 
то после упрощений получим Тогда нужно знать, на каком интервале распределена случайная величина
Об авторе:
Facta loquuntur.
Facta loquuntur.
21.11.2016, 12:25
общий
это ответ
Здравствуйте, Higoli!
Рассмотрим задачу 2. О срединном отклонении можно прочитать здесь. Исходя из смысла срединного отклонения, при имеющихся данных получим для непрерывной случайной величины
- вычисленного расстояния - с математическим ожиданием 
или, через функцию Лапласа
По таблице значений функции Лапласа находим
Тогда при 
будет 
Рассмотрим задачу 2. О срединном отклонении можно прочитать здесь. Исходя из смысла срединного отклонения, при имеющихся данных получим для непрерывной случайной величины
- вычисленного расстояния - с математическим ожиданием или, через функцию Лапласа
По таблице значений функции Лапласа находим
Тогда при будет
Об авторе:
Facta loquuntur.
Facta loquuntur.
И приношу извинения за плоховатое оформление темы.
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