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Консультация № 202783
12.05.2022, 12:40
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Здравствуйте, уважаемые эксперты! Прошу вас помочь со следующим заданием
Обсуждение
12.05.2022, 13:41
общий
это ответ
Здравствуйте, balakirevak882!
Проверим, может ли заданная функция
быть интегральной функцией распределения непрерывной случайной величины 
Воспользуемся тем, что такая функция должна быть непрерывной в любой точке своей области задания. Тогда получим следующие результаты:
- если
то 
то есть 
- если
то 
то есть 
Но
поэтому заданная функция не является функцией распределения непрерывной случайной величины Стало быть, задание в такой формулировке невыполнимо.
Проверим, может ли заданная функция
быть интегральной функцией распределения непрерывной случайной величины Воспользуемся тем, что такая функция должна быть непрерывной в любой точке своей области задания. Тогда получим следующие результаты:- если
то то есть - если
то то есть Но
поэтому заданная функция не является функцией распределения непрерывной случайной величины Стало быть, задание в такой формулировке невыполнимо.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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