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Консультация № 189990
07.11.2016, 11:07
0.00 руб.
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6
1
Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
12. Независимые случайные величины Х и У заданы следующими законами:
Укажите законы распределения случайной величины Х+У, Х-У и найдите их математическое ожидание и дисперсию.
12. Независимые случайные величины Х и У заданы следующими законами:
Укажите законы распределения случайной величины Х+У, Х-У и найдите их математическое ожидание и дисперсию.
Обсуждение
07.11.2016, 21:16
общий
это ответ
Здравствуйте, Емельян!
1. Вычислим все возможные значения величины
Или
2. Вычислим вероятности значений
3. Проверим выполнение условия
как и должно быть.
4. Запишем закон распределения случайной величины
5. Вычислим математическое ожидание
случайной величины 
6. Вычислим дисперсию
случайной величины
Для случайной величины
нужно выполнить аналогичные вычисления.
1. Вычислим все возможные значения величины
Или
2. Вычислим вероятности значений
3. Проверим выполнение условия
как и должно быть.
4. Запишем закон распределения случайной величины
5. Вычислим математическое ожидание
случайной величины 6. Вычислим дисперсию
случайной величины Для случайной величины
нужно выполнить аналогичные вычисления.
5
Спасибо за помощь!
Об авторе:
Facta loquuntur.
Facta loquuntur.
08.11.2016, 14:44
общий
08.11.2016, 14:52
Спасибо большое за подробное разъяснение. Но при решении [size=2]X - Y[/size], когда делаю проверку сумма получается не единица, а меньше.
Случайная величина X-Y принимает значения: -6, -3, -2, -1, 0, 1, 2, 3
Случайная величина X-Y принимает значения: -6, -3, -2, -1, 0, 1, 2, 3
08.11.2016, 15:14
общий
Адресаты:
Емельян Спасибо большое за подробное разъяснение. Но при решении X - Y, когда делаю проверку сумма получается не единица, а меньше.
Ищите ошибку в своём решении. Я вчера тоже оказался в такой ситуации. Сумма вероятностей должна получиться равной единице.
Об авторе:
Facta loquuntur.
Facta loquuntur.
08.11.2016, 17:06
общий
Значения [size=3]Y[/size] равны в основном [size=3]-3 [/size]и [size=3]1[/size], а в таблице этих чисел нет. Как быть?
08.11.2016, 17:18
общий
Адресаты:
Если 
то 
Все нужные числа есть в таблицах.
то Все нужные числа есть в таблицах.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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