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Консультация № 203058
01.07.2022, 14:04
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Здравствуйте! Прошу помощи в следующем вопросе:
Для участия в студенческих отборочных спортивных соревнованиях выделено из первой группы курса четыре, из второй – шесть, из
третьей – пять студентов. Вероятности того, что студент первой, второй,
третьей группы в результате этих соревнований попадет в сборную института, равны соответственно 0,9, 0,7, 0,8. Наудачу выбранный студент в результате соревнований попал в сборную. Какой из групп вероятнее всего принадлежит студент?
Для участия в студенческих отборочных спортивных соревнованиях выделено из первой группы курса четыре, из второй – шесть, из
третьей – пять студентов. Вероятности того, что студент первой, второй,
третьей группы в результате этих соревнований попадет в сборную института, равны соответственно 0,9, 0,7, 0,8. Наудачу выбранный студент в результате соревнований попал в сборную. Какой из групп вероятнее всего принадлежит студент?
Обсуждение
01.07.2022, 18:10
общий
это ответ
Здравствуйте, paxomgeorge!
Предложенная Вам задача была рассмотрена тринадцать с половиной лет назад здесь: Ссылка >>. Однако выполнять все сделанные тогда расчёты не нужно. Можно ограничиться сравнением произведений
согласно формуле Байеса.
Введём обозначения для событий так:
-- студент попал в сборную института; 
-- студент учится в первой группе; 
-- студент учится во второй группе; 
-- студент учится в третьей группе. Тогда
Отсюда видно, что студент, который попал в сборную института, вероятнее всего учится во второй группе.
Предложенная Вам задача была рассмотрена тринадцать с половиной лет назад здесь: Ссылка >>. Однако выполнять все сделанные тогда расчёты не нужно. Можно ограничиться сравнением произведений
согласно формуле Байеса.Введём обозначения для событий так:
-- студент попал в сборную института; -- студент учится в первой группе; -- студент учится во второй группе; -- студент учится в третьей группе. ТогдаОтсюда видно, что студент, который попал в сборную института, вероятнее всего учится во второй группе.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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