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Консультация № 203055
30.06.2022, 13:40
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Здравствуйте! У меня возникли сложности с таким вопросом:
Вероятность хотя бы одного попадания в цель при двух выстрелах равна 0,91. Найти вероятности следующих событий: а) трех попаданий при
шести выстрелах, б) не менее двух попаданий при четырех выстрелах.
Вероятность хотя бы одного попадания в цель при двух выстрелах равна 0,91. Найти вероятности следующих событий: а) трех попаданий при
шести выстрелах, б) не менее двух попаданий при четырех выстрелах.
Обсуждение
30.06.2022, 15:09
общий
это ответ
Здравствуйте, paxomgeorge!
Пусть
-- вероятность появления события 
-- попадания в цель при одном выстреле. Вероятность того, что событие не появится ни разу при двух выстрелах, равна 
а вероятность того, событие появится хотя бы один раз при двух выстрелах, равна 
Значит,
Используя формулу Бернулли, получим такие результаты:
а)
б)
Пусть
-- вероятность появления события -- попадания в цель при одном выстреле. Вероятность того, что событие не появится ни разу при двух выстрелах, равна а вероятность того, событие появится хотя бы один раз при двух выстрелах, равна Значит,Используя формулу Бернулли, получим такие результаты:
а)
б)
Об авторе:
Facta loquuntur.
Facta loquuntur.
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