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Консультация № 203257
12.10.2022, 13:03
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Здравствуйте! У меня возникли сложности с таким вопросом:
Найти закон распределения указанной дискретной случайной
величины Х и её функцию распределения F(x). Вычислить
математическое ожидание M(X), дисперсию D(X) и среднее
квадратическое отклонение. Построить многоугольник
распределения и график функции распределения.
В группе из 25 школьников 10 – отличников. СВ Х – число отличников
среди четырёх случайным образом отобранных.
Найти закон распределения указанной дискретной случайной
величины Х и её функцию распределения F(x). Вычислить
математическое ожидание M(X), дисперсию D(X) и среднее
квадратическое отклонение. Построить многоугольник
распределения и график функции распределения.
В группе из 25 школьников 10 – отличников. СВ Х – число отличников
среди четырёх случайным образом отобранных.
Обсуждение
16.10.2022, 08:34
общий
это ответ
Здравствуйте, svrvsvrv!
Случайная величина
может принимать целочисленные значения от нуля до четырёх. Вычислим соответствующие вероятности:
По данным расчёта выше составим таблицу, выражающую закон распределения случайной величины
По данным таблицы составим функцию распределения случайной величины
График этой функции показан в первом прикреплённом файле.
Многоугольник распределения показан во втором прикреплённом файле.
Вычислим искомые величины:
-- математическое ожидание случайной величины
-- дисперсия случайной величины
-- среднее квадратическое отклонение случайной величины
Случайная величина
может принимать целочисленные значения от нуля до четырёх. Вычислим соответствующие вероятности:По данным расчёта выше составим таблицу, выражающую закон распределения случайной величины
По данным таблицы составим функцию распределения случайной величины
График этой функции показан в первом прикреплённом файле.
Многоугольник распределения показан во втором прикреплённом файле.
Вычислим искомые величины:
-- математическое ожидание случайной величины
-- дисперсия случайной величины
-- среднее квадратическое отклонение случайной величины
Прикрепленные файлы:
5
Большое спасибо за подробный ответ!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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