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Консультация № 202600
14.04.2022, 04:04
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Число атак истребителей, которым может подвергнуться бомбардировщик над территорией противника, есть случайная величина, распределенная по закону Пуассона с математическим ожиданием а = 3. Каждая атака с вероятностью 0,4 заканчивается поражением бомбардировщика. Определить вероятность поражения бомбардировщика в результате трех атак.
Число атак истребителей, которым может подвергнуться бомбардировщик над территорией противника, есть случайная величина, распределенная по закону Пуассона с математическим ожиданием а = 3. Каждая атака с вероятностью 0,4 заканчивается поражением бомбардировщика. Определить вероятность поражения бомбардировщика в результате трех атак.
Обсуждение
14.04.2022, 16:25
общий
это ответ
Здравствуйте, svrvsvrv!
Непонятно, зачем в условии этой "жизнеутверждающей" задачи присутствует закон Пуассона, если для решения задачи он не нужен.
Пусть
-- вероятность поражения бомбардировщика в результате одной атаки. Тогда 
-- вероятность его непоражения в результате одной атаки. Бомбардировщик будет поражён в результате трёх атак (единожды, или дважды, или трижды), если трижды не случится непоражения бомбардировки в результате трёх атак, вероятность чего составляет 
Тогда искомая вероятность, которая представляет собой вероятность противоположного события, равна 
Непонятно, зачем в условии этой "жизнеутверждающей" задачи присутствует закон Пуассона, если для решения задачи он не нужен.
Пусть
-- вероятность поражения бомбардировщика в результате одной атаки. Тогда -- вероятность его непоражения в результате одной атаки. Бомбардировщик будет поражён в результате трёх атак (единожды, или дважды, или трижды), если трижды не случится непоражения бомбардировки в результате трёх атак, вероятность чего составляет Тогда искомая вероятность, которая представляет собой вероятность противоположного события, равна
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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