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Supposes that the diameter of bearings are independent normally distributed random variables with mean µB = 1.005cm and variance σ²B = (0.003)² cm² . The diameter of shafts are independent normally distributed random variables having mean µB = 0.995cm cm and variance σ²s = 0.004² (cm²) .

a) What is the probability Pr(S > B) of interference?

b) What is the probability of one or fewer interferences in 20 random shaft-bearing pairs?

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