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Консультация № 186622
24.09.2012, 12:43
132.40 руб.
25.09.2012, 10:27
0
4
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Пожалуйста помогите!!!
Плотность вероятности случайной величины имеет вид:
Найти ее математическое ожидание,дисперсию,построить кривую вероятности:найти вероятность событий:А-случайная величина примет только отрицательные значния.В-случайная величина попадает в интервал длиной в три средних квадратических отклонения,симметричный относительно математического ожидания. Большое спасибо!!!!!
Пожалуйста помогите!!!
Плотность вероятности случайной величины имеет вид: Найти ее математическое ожидание,дисперсию,построить кривую вероятности:найти вероятность событий:А-случайная величина примет только отрицательные значния.В-случайная величина попадает в интервал длиной в три средних квадратических отклонения,симметричный относительно математического ожидания. Большое спасибо!!!!!
Обсуждение
24.09.2012, 14:44
общий
это ответ
Здравствуйте, Лавренко Ольга Николаевна!
Это формула нормального распределения. Представим ее в виде
Математическое ожидание равно 2
Дисперсия равна 9
То есть [$963$]=3
А-случайная величина примет только отрицательные значения
P(A)=[$934$]((0-[$956$])/[$963$])=[$934$]((-2)/3)=[$934$](-0,667)=1-[$934$](0,667)=1-0.7486=0.2514
В-случайная величина попадает в интервал длиной в три средних квадратических отклонения,симметричный относительно математического ожидания - величина попадет в интервал [[$956$]-3/2[$963$];[$956$]+3/2[$963$]].
P(A)=[$934$](3/2)-[$934$](-3/2)=[$934$](3/2)-(1-[$934$](3/2)))=2[$934$](3/2)-1=2*0.9332-1=0,8664
Это формула нормального распределения. Представим ее в виде
Математическое ожидание равно 2
Дисперсия равна 9
То есть [$963$]=3
А-случайная величина примет только отрицательные значения
P(A)=[$934$]((0-[$956$])/[$963$])=[$934$]((-2)/3)=[$934$](-0,667)=1-[$934$](0,667)=1-0.7486=0.2514
В-случайная величина попадает в интервал длиной в три средних квадратических отклонения,симметричный относительно математического ожидания - величина попадет в интервал [[$956$]-3/2[$963$];[$956$]+3/2[$963$]].
P(A)=[$934$](3/2)-[$934$](-3/2)=[$934$](3/2)-(1-[$934$](3/2)))=2[$934$](3/2)-1=2*0.9332-1=0,8664
Неизвестный
24.09.2012, 14:50
общий
Большое спасибо за ответ!а можно ход решения расписать и график. С УВАЖЕНИЕМ!
24.09.2012, 21:01
общий
Никакого хода решения нет, матожидание и дисперсия видны из формулы. Прочитайте теоретический материал.
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