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Консультация № 203149
10.09.2022, 16:15
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Два действительных числа х и у выбирают наугад независимо друг от друга так, что |x| < 3, а |y| < 5. Какова вероятность того, что эти числа окажутся положительными?
Два действительных числа х и у выбирают наугад независимо друг от друга так, что |x| < 3, а |y| < 5. Какова вероятность того, что эти числа окажутся положительными?
Обсуждение
10.09.2022, 20:23
общий
это ответ
Здравствуйте, ricali8708!
Множество чисел, удовлетворяющих системе неравенств
изображается на координатной плоскости открытым прямоугольником, ширина которого равна 
а высота -- 
Площадь этого прямоугольника равна 
Та часть этого прямоугольника, которой соответствуют положительные числа 
и 
-- суть правая верхняя четверть этого прямоугольника, площадь которой равна 
В соответствии с определением геометрической вероятности искомая составляет 
Множество чисел, удовлетворяющих системе неравенств
изображается на координатной плоскости открытым прямоугольником, ширина которого равна а высота -- Площадь этого прямоугольника равна Та часть этого прямоугольника, которой соответствуют положительные числа и -- суть правая верхняя четверть этого прямоугольника, площадь которой равна В соответствии с определением геометрической вероятности искомая составляет
Об авторе:
Facta loquuntur.
Facta loquuntur.
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