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Консультация № 199738
28.11.2020, 21:07
0.00 руб.
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1
Здравствуйте! Прошу помощи в следующем вопросе:
Систематическая ошибка удержания высоты самолетом +20 м, а случайная нормально распределенная ошибка характеризуется средним квадратичным отклонением, равным 50 м. Для полета самолета отведен коридор высотой 2х100м. Какова вероятность, что самолет будет лететь внутри коридора, если самолету задана высота, соответствующая середине коридора.
Заранее спасибо!
Систематическая ошибка удержания высоты самолетом +20 м, а случайная нормально распределенная ошибка характеризуется средним квадратичным отклонением, равным 50 м. Для полета самолета отведен коридор высотой 2х100м. Какова вероятность, что самолет будет лететь внутри коридора, если самолету задана высота, соответствующая середине коридора.
Заранее спасибо!
Обсуждение
05.12.2020, 20:47
общий
это ответ
Здравствуйте, erorr2!
Исходя из условий задачи, требуется найти вероятность попадания случайной величины X, распределённой по нормальному закону с математическим ожиданием a = 20 и среднеквадратическим отклонением [$963$] = 50 в интервал [x[sub]1[/sub], x[sub]2[/sub]] = [-100, 100]. Данная вероятность определяется по формуле
где [$934$] - функция Лапласа (вероятностная функция для т.н. стандартного нормального распределения с a = 0 и [$963$] = 1), определяемая обычно по таблице.
В данном случае
Исходя из условий задачи, требуется найти вероятность попадания случайной величины X, распределённой по нормальному закону с математическим ожиданием a = 20 и среднеквадратическим отклонением [$963$] = 50 в интервал [x[sub]1[/sub], x[sub]2[/sub]] = [-100, 100]. Данная вероятность определяется по формуле
где [$934$] - функция Лапласа (вероятностная функция для т.н. стандартного нормального распределения с a = 0 и [$963$] = 1), определяемая обычно по таблице.
В данном случае
Форма ответа
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