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A process manufactures ball bearings with diameters that are normally distributed with mean 25.15 mm and...

A process manufactures ball bearings with diameters that are normally distributed with mean 25.15 mm and standard deviation 0.08 mm.

a) A particular ball bearing has a diameter of 25.2 mm. What percentile is its diameter on? (Round up the final answer to the nearest whole number.)

b) To meet a certain specification, a ball bearing must have a diameter between 25.0 and 25.3 millimeters. What proportion of the ball bearings meet the specification?

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