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Консультация № 190611
02.03.2017, 16:03
0.00 руб.
02.03.2017, 18:13
0
3
1
Здравствуйте! Прошу помощи в следующем вопросе:
В страховую компанию в среднем поступает 2 иска в час. Определите вероятность того, что в течение 1,5 часов не поступит ни одного иска. Найти наивероятнейшее число поступивших за час исков и соответствующую этому вероятность.
В страховую компанию в среднем поступает 2 иска в час. Определите вероятность того, что в течение 1,5 часов не поступит ни одного иска. Найти наивероятнейшее число поступивших за час исков и соответствующую этому вероятность.
Обсуждение
02.03.2017, 16:07
общий
Адресаты:
Ксения Найти наивероятнейшее число поступивших за час исков и соответствующей этой вероятности
Уточните, пожалуйста, написанное.
Об авторе:
Facta loquuntur.
Facta loquuntur.
03.03.2017, 06:30
общий
это ответ
Здравствуйте, vorobeikova.ksen!
Наверное, задачу можно решить так. Воспользуемся формулой
где в нашем случае 
Тогда вероятность того, что в течение 
часов не поступит ни одного иска, составляет
Наивероятнейшее число исков, поступивших за час, равно одному или двум. В этом можно убедиться, вычислив
Далее с увеличением
вероятность 
уменьшается, потому что 
растёт быстрее, чем 
При этом наивероятнейшему числу исков соответствует вероятность, приблизительно равная 
Наверное, задачу можно решить так. Воспользуемся формулой
где в нашем случае Тогда вероятность того, что в течение часов не поступит ни одного иска, составляетНаивероятнейшее число исков, поступивших за час, равно одному или двум. В этом можно убедиться, вычислив
Далее с увеличением
вероятность уменьшается, потому что растёт быстрее, чем При этом наивероятнейшему числу исков соответствует вероятность, приблизительно равная
5
Спасибо, большое) очень быстро помогли решить задачу!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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