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Problem 42

A certain industrial process yields a large number of steel cylinders whose lengths are distributed normal with mean \(3.25\) inches and standard deviation \(0.05\) inches. If two such cylinders are chosen at random and placed end to end what is the probability that their combined length is less than \(6.60\) inches?

Expert verified

The probability that the combined length of two randomly picked cylinders is less than 6.60 inches is approximately 0.9213 or 92.13%.

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