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The finished inside diameter of a piston ring is normally distributed with a mean of 10 centimeters and a standard deviation of 0.03 centimeter.

a) What proportion of rings will have inside diameters exceeding 10.075 centimeters?

b) What is the probability that a piston ring will have an inside diameter between 9.97 and 10.03 centimeters?

c) Below what value of inside diameter will 15% of the piston rings fall?

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