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Консультация № 202340
16.03.2022, 13:10
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6
1
Здравствуйте! У меня возникли сложности с таким вопросом:
Пусть установлено,что выход красителя стандартного цвета со специальным оттенком распределен нормально с математическим ожиданием 1550 г и средним квадратическим отклонением 50 г. В скольких из 100 проверок вы ожидаете,что выход в среднем будет : 1) ниже 1550 г , 2) выше 1650 г , 3) между 1500 и 1600 г ?
Пусть установлено,что выход красителя стандартного цвета со специальным оттенком распределен нормально с математическим ожиданием 1550 г и средним квадратическим отклонением 50 г. В скольких из 100 проверок вы ожидаете,что выход в среднем будет : 1) ниже 1550 г , 2) выше 1650 г , 3) между 1500 и 1600 г ?
Обсуждение
18.03.2022, 09:12
общий
18.03.2022, 12:10
это ответ
Здравствуйте, rrrffggh!
В Вашем случае
г, 
г. Поэтому, согласно формуле
при
г, 
г получим, что
Очевидно, что
(ввиду симметрии кривой распределения относительно математического ожидания).
Если
г, 
г, то
Следовательно, из ста проверок выход в среднем будет таким: а) 50%; б) 2,27%; в) 68.26%.
В Вашем случае
г, г. Поэтому, согласно формулепри
г, г получим, чтоОчевидно, что
(ввиду симметрии кривой распределения относительно математического ожидания).Если
г, г, тоСледовательно, из ста проверок выход в среднем будет таким: а) 50%; б) 2,27%; в) 68.26%.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
18.03.2022, 10:01
общий
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Андрей Владимирович, вы не дорешали задачу, вы не нашли сколько в среднем из 100 проверок будут эти события, плюс еще ошибки в решении есть небольшие
18.03.2022, 19:42
общий
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Возможно, "более правильным" будет такой ответ: а) 50; б) 2; в) 68, поскольку спрашивается об ожидаемом Вами числе проверок(?).
Об авторе:
Facta loquuntur.
Facta loquuntur.
18.03.2022, 20:45
общий
Гордиенко Андрей Владимирович Возможно, "более правильным" будет такой ответ: а) 50; б) 2; в) 68, поскольку спрашивается об ожидаемом Вами числе проверок(?).Да,спасибо!
31.03.2022, 08:14
общий
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Андрей Владимирович,подскажите,пожалуйста,как к этой задаче записать вид функции распределения и плотности распределения?
31.03.2022, 08:20
общий
Адресаты:
Здравствуйте, rrrffggh!
Срок консультации по этой задаче истёк 21 марта. К тому же в этой задаче не требуется записать вид функции распределения и плотности распределения, хотя неявно все нужные параметры указаны в условии. Создайте, пожалуйста, новую консультацию, чтобы получить ответ, если Вы не можете самостоятельно сделать требуемое.
Срок консультации по этой задаче истёк 21 марта. К тому же в этой задаче не требуется записать вид функции распределения и плотности распределения, хотя неявно все нужные параметры указаны в условии. Создайте, пожалуйста, новую консультацию, чтобы получить ответ, если Вы не можете самостоятельно сделать требуемое.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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