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Консультация № 198009
21.03.2020, 15:34
0.00 руб.
30.03.2020, 04:53
1
2
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
По заданному ряду распределения случайной величины X найти M(Y), D(Y), сигма(Y) , а также найти и построить функцию распределения дискретной случайной величины Y
Y=2X+1
По заданному ряду распределения случайной величины X найти M(Y), D(Y), сигма(Y) , а также найти и построить функцию распределения дискретной случайной величины Y
Y=2X+1
Прикрепленные файлы:
Обсуждение
26.03.2020, 13:12
общий
это ответ
Здравствуйте, andrey!
Прежде всего, найдём недостающую вероятность. Для этого воспользуемся тем, что для дискретной случайной величины, принимающей конечное число значений X[sub]1[/sub], X[sub]2[/sub],... X[sub]n[/sub] с вероятностью P[sub]1[/sub], P[sub]2[/sub],... P[sub]n[/sub], выполняется условие
В данном случае имеем
откуда P[sub]3[/sub] = 0.1.
Дискретная случайная величина Y = 2X + 1 будет принимать значения Y[sub]i[/sub] = 2X[sub]i[/sub] + 1 с теми же вероятностями, то есть ряд распределения для неё будет иметь вид:
Характеристики дискретной случайной величины определяются по следующим формулам:
Функция распределения случайной величины принимает следующие значения:
В данном случае
Прежде всего, найдём недостающую вероятность. Для этого воспользуемся тем, что для дискретной случайной величины, принимающей конечное число значений X[sub]1[/sub], X[sub]2[/sub],... X[sub]n[/sub] с вероятностью P[sub]1[/sub], P[sub]2[/sub],... P[sub]n[/sub], выполняется условие
В данном случае имеем
откуда P[sub]3[/sub] = 0.1.
Дискретная случайная величина Y = 2X + 1 будет принимать значения Y[sub]i[/sub] = 2X[sub]i[/sub] + 1 с теми же вероятностями, то есть ряд распределения для неё будет иметь вид:
Характеристики дискретной случайной величины определяются по следующим формулам:
Функция распределения случайной величины принимает следующие значения:
В данном случае
Форма ответа
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