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Консультация № 190272
11.12.2016, 17:39
0.00 руб.
12.12.2016, 06:55
0
8
1
Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Дан прямоугольник в системе координат (0;0), (5;0), (5;1), (0;1). Кинули точку в прямоугольник. Какова вероятность, что точка попадет в область у<x?
Заранее спасибо за ответы.
Дан прямоугольник в системе координат (0;0), (5;0), (5;1), (0;1). Кинули точку в прямоугольник. Какова вероятность, что точка попадет в область у<x?
Заранее спасибо за ответы.
Обсуждение
11.12.2016, 17:44
общий
kainnord Дан прямоугольник в системе координат (0;0), (5;0), (5;1), (1;0).
Попробуйте построить такой прямоугольник или найдите ошибку в условии, пожалуйста.
Об авторе:
Facta loquuntur.
Facta loquuntur.
11.12.2016, 21:41
общий
Гордиенко Андрей Владимирович Попробуйте построить такой прямоугольник или найдите ошибку в условии, пожалуйста
в последней координате опечатка была (0;0), (5;0), (5;1), (0;1)
12.12.2016, 08:39
общий
это ответ
Здравствуйте, kainnord!
Воспользуемся геометрическим определением вероятности. Выполним рисунок.
Пусть
- событие, состоящее в том, что точка, брошенная в прямоугольник, попадёт в область 
Тогда вероятность 
этого события равна отношению площадей трапеции, окрашенной на рисунке в светло-синий цвет, и прямоугольника, то есть
Воспользуемся геометрическим определением вероятности. Выполним рисунок.
Пусть
- событие, состоящее в том, что точка, брошенная в прямоугольник, попадёт в область Тогда вероятность этого события равна отношению площадей трапеции, окрашенной на рисунке в светло-синий цвет, и прямоугольника, то есть
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
13.12.2016, 13:21
общий
Спасибо за наглядное решение.
Хотела бы уточнить: если в условии такой же задачи область обозначена как у<x, у<7x.
Как рассчитываем точку на оси х?
Хотела бы уточнить: если в условии такой же задачи область обозначена как у<x, у<7x.
Как рассчитываем точку на оси х?
13.12.2016, 14:20
общий
Адресаты:
kainnord Хотела бы уточнить: если в условии такой же задачи область обозначена как у<x, у<7x.
Как рассчитываем точку на оси х?
Извините, я не понял Ваш вопрос. Какую точку мы рассчитываем?
Об авторе:
Facta loquuntur.
Facta loquuntur.
13.12.2016, 15:18
общий
Если задача такая же, в плане координат, но ограничение области куда может попасть точка обозначено у<x, у<7x.
Пытаюсь понять у<7x, как это представить на графике.
Пытаюсь понять у<7x, как это представить на графике.
13.12.2016, 15:25
общий
Адресаты:
Если вместо y<x будет y<7x, то воспользуйтесь тем, что прямая y=7x пересекается с прямой y=1 при x=1/7.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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