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Консультация № 200734
Обсуждение
26.04.2021, 19:43
общий
27.04.2021, 08:01
это ответ
Здравствуйте, EustasKid!
Для удобства ввода решения заменим буквы
на 
соответственно. Определим закон распределения случайной величины 
-- площади прямоугольника со сторонами 
и 
Согласно [1, с. 210-211], для функции двух аргументов
функция распределения вычисляется по формуле
где
-- плотность распределения системы 
-- область на плоскости 
для которой 
Плотности распределения независимых случайных величин и 
суть
Выделим на плоскости
область 
в пределах которой 
(левый рисунок в прикреплённом файле). Функция распределения в данном случае равна площади области (правый рисунок в прикреплённом файле):
или
Литература
1. Вентцель Е. С., Овчаров Л. А. Теория вероятностей. Задачи и упражнения. -- М.: Наука, 1969. -- 368 с.
Для удобства ввода решения заменим буквы
на соответственно. Определим закон распределения случайной величины -- площади прямоугольника со сторонами и Согласно [1, с. 210-211], для функции двух аргументов
функция распределения вычисляется по формулегде
-- плотность распределения системы -- область на плоскости для которой Плотности распределения независимых случайных величин
и сутьВыделим на плоскости
область в пределах которой (левый рисунок в прикреплённом файле). Функция распределения в данном случае равна площади области (правый рисунок в прикреплённом файле):или
Литература
1. Вентцель Е. С., Овчаров Л. А. Теория вероятностей. Задачи и упражнения. -- М.: Наука, 1969. -- 368 с.
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Об авторе:
Facta loquuntur.
Facta loquuntur.
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