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Консультация № 200499
26.03.2021, 13:10
0.00 руб.
26.03.2021, 18:22
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:Один пеленгатор определяет местонахождение с пиратского сотового телефона, в среднем за 2 минуты. Время затрачиваемое на пеленгацию подчиняется показательному закону распредедения. Найди :А) плотность распределение случайной величины Б) числовые характеристики случайной величины в) вероятность того что нарушитель закона будет обнаружен пеленгатором не позже чем за 3 мин.
Обсуждение
28.03.2021, 08:50
общий
это ответ
Здравствуйте, yana_pedde!
Случайная величина
-- время, затрачиваемое на пеленгацию. Так как 
мин -- математическое ожидание времени пеленгации, то 
(мин-1) -- параметр распределения [1, с. 95]. Плотность распределения суть функция
[1, с. 94].
Помимо математического ожидания, числовыми характеристиками случайной величины являются её дисперсия 
(мин2) и среднее квадратическое отклонение 
(мин) [1, с. 95].
Вероятность того, что время пеленгации не превысит 3 мин, составляет
[1, с. 95].
Литература
1. Письменный Д. Т. Конспект лекций по теории вероятностей, математической статистике и случайным процессам. -- М.: Айрис-пресс, 2007. -- 288 с.
Случайная величина
-- время, затрачиваемое на пеленгацию. Так как мин -- математическое ожидание времени пеленгации, то (мин-1) -- параметр распределения [1, с. 95]. Плотность распределения суть функция [1, с. 94].Помимо математического ожидания, числовыми характеристиками случайной величины
являются её дисперсия (мин2) и среднее квадратическое отклонение (мин) [1, с. 95].Вероятность того, что время пеленгации не превысит 3 мин, составляет
[1, с. 95].Литература
1. Письменный Д. Т. Конспект лекций по теории вероятностей, математической статистике и случайным процессам. -- М.: Айрис-пресс, 2007. -- 288 с.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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