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Консультация № 202489
28.03.2022, 21:46
0.00 руб.
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1
1
Здравствуйте, уважаемые эксперты! возник у меня вот такой вопрос:
Есть учебник Чистяков Курс теории вероятностей от 1987 года издания.
Попалась мне такая задача:
Интересует мен пункт б) в котором необходимо найти закон распределения суммы
И ответ есть. Но сколько не решаю, не могу понять, каким образом у них получился такой закон, у меня получаются совсем другие числа
1/6;1/8;3/8;1/8;5/24 кто прав ?
Есть учебник Чистяков Курс теории вероятностей от 1987 года издания.
Попалась мне такая задача:
Интересует мен пункт б) в котором необходимо найти закон распределения суммы
И ответ есть. Но сколько не решаю, не могу понять, каким образом у них получился такой закон, у меня получаются совсем другие числа
1/6;1/8;3/8;1/8;5/24 кто прав ?
Обсуждение
31.03.2022, 15:57
общий
01.04.2022, 06:08
это ответ
Здравствуйте, Елена Васильевна!
Сначала нужно установить, чему равен числитель дроби, которая находится в ячейке таблицы, соответствующей значениям
Обозначим этот числитель буквой 
и воспользуемся тем, что должно выполняться равенство
откуда получим, что
Следовательно, совместное распределение случайных величин
задаётся следующей таблицей:
Из полученной таблицы видно, что сумма
может принимать следующие значения: 
вероятности этих значений с учётом порядка слагаемых составляют соответственно 
Поэтому 
Сначала нужно установить, чему равен числитель дроби, которая находится в ячейке таблицы, соответствующей значениям
Обозначим этот числитель буквой и воспользуемся тем, что должно выполняться равенствооткуда получим, что
Следовательно, совместное распределение случайных величин
задаётся следующей таблицей:Из полученной таблицы видно, что сумма
может принимать следующие значения: вероятности этих значений с учётом порядка слагаемых составляют соответственно Поэтому
5
спасибо.... я поняла, у нас же было двумерное распределение, а я пыталась по одномерным составлять
Об авторе:
Facta loquuntur.
Facta loquuntur.
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