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Консультация № 198333
22.04.2020, 16:31
0.00 руб.
28.04.2020, 02:59
0
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Закон распределения ДСВ задан таблицей распределения. Найти: М(х), D(х), Ϭ(х)
х -4 -1 2 3
p 0,5 0,2 р3 0,1
Закон распределения ДСВ задан таблицей распределения. Найти: М(х), D(х), Ϭ(х)
х -4 -1 2 3
p 0,5 0,2 р3 0,1
Обсуждение
27.04.2020, 14:27
общий
это ответ
Здравствуйте, mik46byh!
Имеем дискретную случайную величину X, принимающую значения x[sub]1[/sub] = -4, x[sub]2[/sub] = -1, x[sub]3[/sub] = 2, x[sub]4[/sub] = 3 c вероятностями p[sub]1[/sub] = 0.5, p[sub]2[/sub] = 0.2, p[sub]3[/sub], p[sub]4[/sub] = 0.1. Неизвестную вероятность найдём, воспользовавшись тем, что для дискретной случайной величины сумма всех вероятностей равна единице. В данном случае имеем p[sub]1[/sub]+p[sub]2[/sub]+p[sub]3[/sub]+p[sub]4[/sub] = 0.5+0.2+p[sub]4[/sub]+0.1 = p[sub]3[/sub]+0.8 = 1, откуда p[sub]3[/sub] = 0.2.
Характеристики дискретной случайной величины определяются по следующим формулам:
Имеем дискретную случайную величину X, принимающую значения x[sub]1[/sub] = -4, x[sub]2[/sub] = -1, x[sub]3[/sub] = 2, x[sub]4[/sub] = 3 c вероятностями p[sub]1[/sub] = 0.5, p[sub]2[/sub] = 0.2, p[sub]3[/sub], p[sub]4[/sub] = 0.1. Неизвестную вероятность найдём, воспользовавшись тем, что для дискретной случайной величины сумма всех вероятностей равна единице. В данном случае имеем p[sub]1[/sub]+p[sub]2[/sub]+p[sub]3[/sub]+p[sub]4[/sub] = 0.5+0.2+p[sub]4[/sub]+0.1 = p[sub]3[/sub]+0.8 = 1, откуда p[sub]3[/sub] = 0.2.
Характеристики дискретной случайной величины определяются по следующим формулам:
Форма ответа
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