# Question: Two mating parts have critical dimensions x1 and x2 as

Two mating parts have critical dimensions x1 and x2 as shown in the figure. Assume that x1 and x2 are normally distributed with means 1 and 2 and standard deviations 1 = 0.400and 2 = 0.300. If it is desired that the probability of a smaller clearance (i.e., x1 − x2) than 0.09 should be 0.006, what distance between the average dimension of the two parts (i.e., 1 − 2) should be specified by the designer?

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