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Консультация № 203220
05.10.2022, 22:08
0.00 руб.
01.06.2024, 06:19
0
1
1
Здравствуйте! Прошу помощи в следующем вопросе:
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.
Вероятность отрицательного результата при химическом анализе равна 0,2. СВ Х – число отрицательных результатов химического анализа среди четырех проведенных.
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.
Вероятность отрицательного результата при химическом анализе равна 0,2. СВ Х – число отрицательных результатов химического анализа среди четырех проведенных.
Обсуждение
09.10.2022, 09:50
общий
это ответ
Здравствуйте, svrvsvrv!
Случайная величина
распределена по биномиальному закону с параметрами 
Чтобы построить таблицу, выражающую закон распределения, вычислим по формуле Бернулли соответствующие вероятности:
Теперь составим таблицу:
При этом
График функции распределения показан в первом прикреплённом файле, многоугольник распределения -- во втором.
Согласно приведённой выше таблице, имеем
-- среднее квадратическое отклонение случайной величины 
и 
можно вычислить иначе:
Случайная величина
распределена по биномиальному закону с параметрами Чтобы построить таблицу, выражающую закон распределения, вычислим по формуле Бернулли соответствующие вероятности:Теперь составим таблицу:
При этом
График функции распределения показан в первом прикреплённом файле, многоугольник распределения -- во втором.
Согласно приведённой выше таблице, имеем
-- среднее квадратическое отклонение случайной величины и можно вычислить иначе:
Прикрепленные файлы:
5
Большое спасибо за подробное решение!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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