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Консультация № 202944
29.05.2022, 22:58
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Для заданной случайной величины Х найти: математическое ожидание M[X], дисперсию D[X] и средне квадратическое отклонение o[X]; записать ряд распределение.
Вероятность получить премию за качественно выполненные работы равна 0,8 за каждый месяц. Работы проводились в течении квартала. Случайна величина X - число премий полученных за квартал.
Для заданной случайной величины Х найти: математическое ожидание M[X], дисперсию D[X] и средне квадратическое отклонение o[X]; записать ряд распределение.
Вероятность получить премию за качественно выполненные работы равна 0,8 за каждый месяц. Работы проводились в течении квартала. Случайна величина X - число премий полученных за квартал.
Обсуждение
29.05.2022, 23:11
общий
это ответ
X может принимать значение 0(не было премии ни за один месяц, 1( за один месяц), 2 и 3 ( квартал включает 3 месяца) по формуле бернулли
С_3^0 (0,2)^3*(0,8)^0=0,008
С_3^1 (0,2)^2*(0,8)^1=0,096
С_3^2 (0,2)^1*(0,8)^2=0,384
С_3^3 (0,2)^0*(0,8)^3=0,512
Проверка 0,008+0,096+0,384+0,512=1
xi 0 1 2 3
pi 0,008 0,096 0,384 0,512
теперь используя формулу математ ожидания, дисперсии и среднего кв отклонения найдите эти три величины
С_3^0 (0,2)^3*(0,8)^0=0,008
С_3^1 (0,2)^2*(0,8)^1=0,096
С_3^2 (0,2)^1*(0,8)^2=0,384
С_3^3 (0,2)^0*(0,8)^3=0,512
Проверка 0,008+0,096+0,384+0,512=1
xi 0 1 2 3
pi 0,008 0,096 0,384 0,512
теперь используя формулу математ ожидания, дисперсии и среднего кв отклонения найдите эти три величины
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