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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Для поисков спускаемого аппарата космического корабля выделено 5 вертолёта типа «A» и 6 вертолётов типа «B». Каждый вертолёт типа «A» обнаруживает аппарат с вероятностью 0,7, типа «B» – с вероятностью 0,5. Найти вероятность того, что наугад выбранный вертолёт обнаружит аппарат.
Всего 11 вертолетов С - событие, что выбранный вертолет обнаружит аппарат вероятность, что выберут вертолет А - го типа: Р(Н1)=5/11=0,454545 вероятность, что выберут вертолет В - го типа: Р(Н1)=6/11=0,545454 вероятности обнаружения аппаратов определена условием задачи рассчитаем полную вероятность Р(С)=0,4545*0,7+0,5454*0,5 = 0,59 -> 59%
Андрей Владимирович, добрый вечер. Если у Вас будет возможность, посмотрите, пожалуйста, задачи, на которые дал ответ другой эксперт.
Но я не эксперт раздела и не берусь разбирать ответы экспертов. Если Вам нужно моё решение задачи, то сообщите, пожалуйста. в мини-форуме этой консультации.
По Вашей просьбе предлагаю своё решение рассматриваемой задачи.
Для решения задачи нужно использовать формулу полной, или средней, вероятности. Сформулируем следующие гипотезы: 1) -- наугад выбран вертолёт типа A. Вероятность этого составляет 2) -- наугад выбран вертолёт типа B. Вероятность этого составляет
Пусть событие C состоит в том, что наугад выбранный вертолёт обнаружит спускаемый аппарат космического корабля. Тогда условные вероятности этого события составляют для гипотез и соответственно.
По формуле полной вероятности получим
5
Спасибо Вам.
Об авторе:
Facta loquuntur.
Форма ответа
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svrvsvrv 
-- наугад выбран вертолёт типа A. Вероятность этого составляет 
-- наугад выбран вертолёт типа B. Вероятность этого составляет 
для гипотез 
