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Консультация № 198680
23.05.2020, 08:49
0.00 руб.
27.05.2020, 14:30
1
1
1
Здравствуйте! Прошу помощи в следующем вопросе:
Дано следующее распределение дискретной случайной величины Х
Х 1 х 3
Р 0,35 0,25 р
Известно, что математическое ожидание MX=2,4. Найти x.
Дано следующее распределение дискретной случайной величины Х
Х 1 х 3
Р 0,35 0,25 р
Известно, что математическое ожидание MX=2,4. Найти x.
Прикрепленные файлы:
Обсуждение
28.05.2020, 01:27
общий
это ответ
Здравствуйте, master87!
Для дискретной случайной величины X, принимающей значения 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], справедливы формулы
В данном случае они имеют вид
Из первого выражения получаем p = 1 - 0.25 - 0.35 = 0.4, тогда из второго следует x = (2.4 - 0.35[$183$]1 - 0.4[$183$]3)/0.25 = 0.85/0.25 = 3.4.
Для дискретной случайной величины X, принимающей значения 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], справедливы формулы
В данном случае они имеют вид
Из первого выражения получаем p = 1 - 0.25 - 0.35 = 0.4, тогда из второго следует x = (2.4 - 0.35[$183$]1 - 0.4[$183$]3)/0.25 = 0.85/0.25 = 3.4.
5
Спасибо!
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