Пример №4 из задания 10

При изготовлении труб диаметром \(30\) мм вероятность того, что диаметр будет отличаться от заданного не более чем на \(0,02\) мм, равна \(0,063\). Найдите вероятность того, что диаметр случайно выбранной для контроля трубы будет в пределах от \(29,98\) мм до \(30,02\) мм.


Решение

Т.к. вероятность того, что диаметр будет отличаться от заданного значения (в нашем случае \(30\) мм) более чем на \(0,02\) мм равняется \(0,063\). То, вероятность того, что диаметр случайно выбранной для контроля трубы будет в пределах от \(29,98\) мм до \(30,02\) мм равняется \(1-0,063=0,937.\)

Ответ: \(0,937\).


Источник: ЕГЭ 2021. Математика. Базовый уровень. 50 вариантов. Типовые варианты экзаменационных заданий. (вариант №6) (Купить книгу)

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