A machining operation produces bearings with diameters that are normally distributed with mean 4.0005 inches and standar

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answerhappygod
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A machining operation produces bearings with diameters that are normally distributed with mean 4.0005 inches and standar

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A machining operation produces bearings with diameters that are
normally distributed with mean 4.0005 inches and standard deviation
0.0010 inch. Specifications require the bearing diameters to lie in
the interval
4.000 ± 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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