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Консультация № 198928
18.06.2020, 21:54
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Случайная величина X в интервале (-3,-2) задана плотностью
распределения вероятностей f(x) = C (x^2 + 5x +6) , а вне этого интервала
f (x)=0. Найти C, функцию распределения вероятностей случайной
величины X , ее математическое ожидание, дисперсию, стандартное
отклонение.
Случайная величина X в интервале (-3,-2) задана плотностью
распределения вероятностей f(x) = C (x^2 + 5x +6) , а вне этого интервала
f (x)=0. Найти C, функцию распределения вероятностей случайной
величины X , ее математическое ожидание, дисперсию, стандартное
отклонение.
Обсуждение
23.06.2020, 18:44
общий
это ответ
Здравствуйте, pppp788879!
Параметр C определяем, исходя из того, что для плотности распределения должно выполняться условие
В данном случае
откуда C = -6 и f(x) = -6x[sup]2[/sup]-30x-36.
Функция распределения равна нулю при x<-3, единице при x>-2, на отрезке [-3, -2] определяется как
Математическое ожидание:
Дисперсия:
Стандартное отклонение:
Параметр C определяем, исходя из того, что для плотности распределения должно выполняться условие
В данном случае
откуда C = -6 и f(x) = -6x[sup]2[/sup]-30x-36.
Функция распределения равна нулю при x<-3, единице при x>-2, на отрезке [-3, -2] определяется как
Математическое ожидание:
Дисперсия:
Стандартное отклонение:
Форма ответа
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