Answer to Question #319519 in Statistics and Probability for zaimsquah

Question

S denotes the diameter of a shaft and B the diameter of a bearing, where S and B are

independent with S distrubbute N(1, 0.0004) and B distrubute N(1.01, 0.0009).

(a) Ifa shaft and a bearing are selected at random, what is the probability that the shaft

diameter will exceed the bearing diameter?

(b) Assume equal variances σ1^2=σ2^2=σ^2 , and find the value of σ that will yield a probability of noninterference of 0.95.