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Nuts and bolts are made separately and paired at random. Thus, the diameters can be considered...

Nuts and bolts are made separately and paired at random. Thus, the diameters can be considered independent random variables. The diameter of the nut is normally distributed with a mean of 20.8 mm and a standard deviation of 0.3 mm. The diameter of the bolt is normally distributed with a mean of 20.0 mm and a standard deviation of 0.2 mm.
a. Find the mean and standard deviation of the difference in diameter between the nut and the bolt.
b. Use the information in part a of the previous problem to find the probability that a bolt is too large for the corresponding nut.

math   Statistics-And-Probability   
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