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Консультация № 199597
13.11.2020, 16:21
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Здравствуйте! Прошу помощи с этим заданием: задача 4. Помогите решить, пожалуйста)
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Обсуждение
18.11.2020, 06:47
общий
это ответ
Здравствуйте, 29bulgakov!
Имеем четыре элементарных события A[sub]1[/sub] = "первый стрелок попал", [s]A[/s][sub]1[/sub] = "первый стрелок промахнулся", A[sub]2[/sub] = "второй стрелок попал", [s]A[/s][sub]2[/sub] = "второй стрелок промахнулся" с вероятностями p[sub]1[/sub] = p(A[sub]1[/sub]) = 0.8, 1-p[sub]1[/sub] = 1-0.8 = 0.2, p[sub]2[/sub] = p(A[sub]2[/sub]) = 0.5, 1-p[sub]2[/sub] = 1-0.5 = 0.5.
Соответственно, для случайной величины X получаем
то есть её распределение имеет вид
Математическое ожидание
дисперсия
стандартное отклонение
Вероятности соответствующих событий:
Случайная величина Z = (X-m)[sup]2[/sup] принимает значения (0-1.3)[sup]2[/sup] = 1.69, (1-1.3)[sup]2[/sup] = 0.09 и (2-1.3)[sup]2[/sup] = 0.49 с теми же вероятностями, что и X, то есть
Тогда
Имеем четыре элементарных события A[sub]1[/sub] = "первый стрелок попал", [s]A[/s][sub]1[/sub] = "первый стрелок промахнулся", A[sub]2[/sub] = "второй стрелок попал", [s]A[/s][sub]2[/sub] = "второй стрелок промахнулся" с вероятностями p[sub]1[/sub] = p(A[sub]1[/sub]) = 0.8, 1-p[sub]1[/sub] = 1-0.8 = 0.2, p[sub]2[/sub] = p(A[sub]2[/sub]) = 0.5, 1-p[sub]2[/sub] = 1-0.5 = 0.5.
Соответственно, для случайной величины X получаем
то есть её распределение имеет вид
Математическое ожидание
дисперсия
стандартное отклонение
Вероятности соответствующих событий:
Случайная величина Z = (X-m)[sup]2[/sup] принимает значения (0-1.3)[sup]2[/sup] = 1.69, (1-1.3)[sup]2[/sup] = 0.09 и (2-1.3)[sup]2[/sup] = 0.49 с теми же вероятностями, что и X, то есть
Тогда
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