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 d 2 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 d 1 d 2 b Find the probability that a given shaft will not t into the bearing Find the probability that the clearance is negative

Question: 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

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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