A certain product requires that a shaft be inserted into a bearing. Measurements show that the diameter

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A certain product requires that a shaft be inserted into a bearing. Measurements show that the diameter d1 of the cylindrical hole in the bearing is normally distributed with a mean of 3 cm and a variance of 0.0064. The diameter d2 of the shaft is normally distributed with a mean of 2.96 cm and a variance of 0.0036.

a. Compute the mean and the variance of the clearance c = d1 = d2.

b. Find the probability that a given shaft will not t into the bearing. Find the probability that the clearance is negative.

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