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Консультация № 202561
10.04.2022, 02:53
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Задание в прикреплённом файле.
Задание в прикреплённом файле.
Прикрепленные файлы:
Обсуждение
10.04.2022, 07:47
общий
это ответ
Здравствуйте, svrvsvrv!
Если случайная величина
распределена по нормальному закону с математическим ожиданием 
и средним квадратическим отклонением 
то её плотность вероятности (дифференциальная функция распределения) суть
График этой функции показан в прикреплённом файле.
В имеющихся у меня учебниках и пособиях по теории вероятностей не вводится понятие наиболее вероятных значений нормально распределённой случайной величины, поэтому я могу только предположить, что воспользовавшись правилом "трёх сигм", можно установить, что
(то есть практически все) своих значений случайная величина принимает на интервале 
Для вычисления искомой вероятности воспользуемся таблицей значений функции
и формулой
Получим
Если случайная величина
распределена по нормальному закону с математическим ожиданием и средним квадратическим отклонением то её плотность вероятности (дифференциальная функция распределения) сутьГрафик этой функции показан в прикреплённом файле.
В имеющихся у меня учебниках и пособиях по теории вероятностей не вводится понятие наиболее вероятных значений нормально распределённой случайной величины, поэтому я могу только предположить, что воспользовавшись правилом "трёх сигм", можно установить, что
(то есть практически все) своих значений случайная величина принимает на интервале Для вычисления искомой вероятности воспользуемся таблицей значений функции
и формулойПолучим
Прикрепленные файлы:
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
Форма ответа
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