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Консультация № 187039
23.12.2012, 23:22
87.71 руб.
24.12.2012, 16:51
0
1
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Случайная величина Х задана своей функцией распределения:
Определить все интервалы длиной 0,25 вероятность попадания в которые не менее 0,7.
Случайная величина Х задана своей функцией распределения:
Определить все интервалы длиной 0,25 вероятность попадания в которые не менее 0,7.
Обсуждение
24.12.2012, 06:53
общий
это ответ
Здравствуйте, Посетитель - 395735!
Вероятность попадания случайной величины в некоторый интервал (x, x+0.25) длиной 0.25 будет равна
или
Исходя из условия
получаем три системы неравенств:
или
Неравенство
выполняется при
что вместе с условием -5/4<x[$8804$]-1 даёт решение первой системы
Решение второй системы будет, очевидно,
Наконец, неравенство
не выполняется при -3/4<x[$8804$]-1/2, то есть последняя система не имеет решения.
Следовательно, для всех интервалов вида (x, x+0.25), где
вероятность попадания в них будет не ниже 0.7.
Вероятность попадания случайной величины в некоторый интервал (x, x+0.25) длиной 0.25 будет равна
или
Исходя из условия
получаем три системы неравенств:
или
Неравенство
выполняется при
что вместе с условием -5/4<x[$8804$]-1 даёт решение первой системы
Решение второй системы будет, очевидно,
Наконец, неравенство
не выполняется при -3/4<x[$8804$]-1/2, то есть последняя система не имеет решения.
Следовательно, для всех интервалов вида (x, x+0.25), где
вероятность попадания в них будет не ниже 0.7.
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