Question

Две фаб­ри­ки вы­пус­ка­ют оди­на­ко­вые стек­ла для ав­то­мо­биль­ных фар. Пер­вая фаб­ри­ка вы­пус­ка­ет 45% этих сте­кол, вто­рая — 55%. Пер­вая фаб­ри­ка вы­пус­ка­ет 3% бра­ко­ван­ных сте­кол, а вто­рая — 1%. Най­ди­те ве­ро­ят­ность того, что слу­чай­но куп­лен­ное в ма­га­зи­не стек­ло ока­жет­ся бра­ко­ван­ным.

Answer 1

Вероятность бракованного стекла 4%
находится так
все стекла 45+55=100%
бракованные стекла 3+1=4%
вероятность находится так 4/100=4%

Answer 2

Calculating the Probability of Purchasing a Defective Glass

To calculate the probability of purchasing a defective glass, we can use the following information:

- The first factory produces 45% of the glass, while the second factory produces 55%. - The first factory produces 3% defective glass, and the second factory produces 1% defective glass.

To find the probability of purchasing a defective glass, we can use the following formula:

P(defective) = P(factory1) * P(defective|factory1) + P(factory2) * P(defective|factory2)

Where: - P(defective) is the probability of purchasing a defective glass. - P(factory1) and P(factory2) are the probabilities of the glass being from the first and second factories, respectively. - P(defective|factory1) and P(defective|factory2) are the probabilities of the glass being defective given it's from the first and second factories, respectively.

Using the given percentages, we can calculate the probability.

The probability of purchasing a defective glass is: P(defective) = 0.45 * 0.03 + 0.55 * 0.01

P(defective) = 0.0135 + 0.0055

P(defective) = 0.019

Therefore, the probability of purchasing a defective glass is 1.9%.