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Консультация № 202629
17.04.2022, 12:55
0.00 руб.
1
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Здравствуйте! У меня возникли сложности с таким вопросом:
При каком значении параметра а функция (на фото) будет плотностью распределения вероятностей некоторой непрерывной СВ X? Найдите функцию распределения СВ X, её математическое ожидание, дисперсию, среднеквадратическое отклонение, вероятность попадания этой СВ X в интервал (–1;2).
При каком значении параметра а функция (на фото) будет плотностью распределения вероятностей некоторой непрерывной СВ X? Найдите функцию распределения СВ X, её математическое ожидание, дисперсию, среднеквадратическое отклонение, вероятность попадания этой СВ X в интервал (–1;2).
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Обсуждение
19.04.2022, 17:48
общий
это ответ
Здравствуйте, svrvsvrv!
Для дифференциальной функции распределения должно выполняться условие
или в рассматриваемом случае 
откуда получим 
(вычисление интеграла смотрите здесь: Ссылка >>), 
(вычисление интеграла смотрите здесь: Ссылка >>);
(вычисление интеграла смотрите здесь: Ссылка >>);
(вычисление интеграла смотрите здесь: Ссылка >>);
Для дифференциальной функции распределения должно выполняться условие
или в рассматриваемом случае откуда получим (вычисление интеграла смотрите здесь: Ссылка >>), (вычисление интеграла смотрите здесь: Ссылка >>);
(вычисление интеграла смотрите здесь: Ссылка >>);
(вычисление интеграла смотрите здесь: Ссылка >>);
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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