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Консультация № 201122
08.06.2021, 14:13
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Здравствуйте! Прошу помощи в следующем вопросе:
При одном цикле обзора радиолокационной станции, следящей за космическим объектом, объект обнаруживают с вероятностью p. Обнаружение объекта в каждом цикле происходит независимо от других циклов. Найти вероятность того, что при n циклах объект будет обнаружен.
При одном цикле обзора радиолокационной станции, следящей за космическим объектом, объект обнаруживают с вероятностью p. Обнаружение объекта в каждом цикле происходит независимо от других циклов. Найти вероятность того, что при n циклах объект будет обнаружен.
Обсуждение
08.06.2021, 14:40
общий
это ответ
Здравствуйте, r-tatiana-1903!
Пусть объект обнаруживают в одном цикле с вероятностью
Тогда его не обнаруживают в одном цикле с вероятностью 
а в 
циклах -- с вероятностью 
Следовательно, вероятность того, что при циклах объект будет обнаружен, составляет 
Пусть объект обнаруживают в одном цикле с вероятностью
Тогда его не обнаруживают в одном цикле с вероятностью а в циклах -- с вероятностью Следовательно, вероятность того, что при циклах объект будет обнаружен, составляет
Об авторе:
Facta loquuntur.
Facta loquuntur.
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