At the ceramic tableware factory, 10% of the produced plates are defective. During product quality control, 75% of defective plates are detected. The rest of the plates are for sale. Find the probability that a plate randomly selected at the time of purchase has no defects. . Round your answer to the nearest hundredth.

Frida Faulkner 2022-09-13 Answered
At the ceramic tableware factory, 10% of the produced plates are defective. During product quality control, 75% of defective plates are detected. The rest of the plates are for sale. Find the probability that a plate randomly selected at the time of purchase has no defects. . Round your answer to the nearest hundredth.
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Answers (1)

Vaughn Greer
Answered 2022-09-14 Author has 15 answers
It follows from the conditions of the problem that out of 10% of defective plates, only 75% are detected, i.e. 10 % × 0.75 = 7.5 % of the rejects of the total volume of produced plates. 100% -7.5% = 92.5 plates go on sale, and among them 10% -7.5% = 2.5% are defective. Thus, the probability that a randomly selected plate will not have defects is 92.5 2.5 / 92.5 = 90 / 92.5 0.97
Answer: 0.97

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