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Консультация № 203059
01.07.2022, 14:05
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Вероятность для изделий некоторого производства удовлетворять стандарту равна 0,96. Предложена упрощенная система проверки детали
на стандартность, дающая положительный результат (деталь признается стандартной) с вероятностью 0,98 для стандартной детали и с вероятностью 0,05
для нестандартной. Найти вероятность того, что признанная в результате проверки стандартной деталь действительно стандартна.
Вероятность для изделий некоторого производства удовлетворять стандарту равна 0,96. Предложена упрощенная система проверки детали
на стандартность, дающая положительный результат (деталь признается стандартной) с вероятностью 0,98 для стандартной детали и с вероятностью 0,05
для нестандартной. Найти вероятность того, что признанная в результате проверки стандартной деталь действительно стандартна.
Обсуждение
02.07.2022, 06:40
общий
это ответ
Здравствуйте, paxomgeorge!
Пусть событие
состоит в том, что изделие признано при проверке стандартным. Сформулируем гипотезы: 
-- изделие действительно стандартное; 
-- изделие действительно нестандартное. Тогда 
Искомая вероятность составляет
Пусть событие
состоит в том, что изделие признано при проверке стандартным. Сформулируем гипотезы: -- изделие действительно стандартное; -- изделие действительно нестандартное. Тогда Искомая вероятность составляет
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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