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Консультация № 189898
17.10.2016, 11:30
0.00 руб.
17.10.2016, 11:58
0
6
1
Здравствуйте! Прошу помощи в следующем вопросе:
Случайная величина Х, распределённая по нормальному закону, задана плотностью вероятности f(х) = 1/√2п * е ^– (х+1,2)^2 /2. Найти математическое ожидание случайной величины mх, дисперсию Dх, среднее квадратическое отклонение ох, вероятность попадания случайной величины в интервал [-1,2; 2,4].
Случайная величина Х, распределённая по нормальному закону, задана плотностью вероятности f(х) = 1/√2п * е ^– (х+1,2)^2 /2. Найти математическое ожидание случайной величины mх, дисперсию Dх, среднее квадратическое отклонение ох, вероятность попадания случайной величины в интервал [-1,2; 2,4].
Обсуждение
17.10.2016, 11:58
общий
Обратите, пожалуйста, внимание на эту консультацию, перенесённую из другого раздела.
Об авторе:
Facta loquuntur.
Facta loquuntur.
19.10.2016, 15:12
общий
это ответ
Здравствуйте, alenchik2545!
Непрерывная случайная величина
распределена по нормальному закону с параметрами 
и 
если её плотность вероятности имеет вид
Математическое ожидание случайной величины, распределённой по нормальному закону, равно параметру
а дисперсия равна 
то есть 
В данном случае
Вычислим вероятность попадания случайной величины в интервал 
пользуясь таблицей значений функции Лапласа:
Непрерывная случайная величина
распределена по нормальному закону с параметрами и если её плотность вероятности имеет видМатематическое ожидание случайной величины, распределённой по нормальному закону, равно параметру
а дисперсия равна то есть В данном случаеВычислим вероятность попадания случайной величины
в интервал пользуясь таблицей значений функции Лапласа:
Об авторе:
Facta loquuntur.
Facta loquuntur.
21.10.2016, 13:00
общий
Адресаты:
Благодаря Вам хоть стала разбираться в решении подобных заданий! Спасибо Вам огромное!!!
21.10.2016, 13:10
общий
Адресаты:
Но ведь есть учебники и сборники задач с примерами решений.
Об авторе:
Facta loquuntur.
Facta loquuntur.
21.10.2016, 13:29
общий
Адресаты:
Конечно, по ходу дела изучаю дополнительную литературу..но Вы объясняете намного доступнее!!!Уж, поверьте! Не понять что-то в досконально расписанных решениях очень сложно)
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