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A machining operation produces bearings with diameters that are normally distributed with mean 5.0005 inches and...

A machining operation produces bearings with diameters that are normally distributed with mean 5.0005 inches and standard deviation 0.0010 inch. Specifications require the bearing diameters to lie in the interval 5.000 ± 0.0020 inches. Those outside the interval are considered scrap and must be remachined. What should the mean diameter, in inches, be in order to minimize the fraction of bearings that are scrapped?

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