In a manufacturing process, 10% of the parts contain visible surface flaws and 25% of the parts with surface flaws are (functionally) defective parts. However, only 5% of parts without surface flaws are defective parts. The probability of a defective part depends on our knowledge of the presence or absence of a surface flaw. If a part is selected at random, what is the probability it will have a surface flaw and be defective? Let: F = part has surface flaw F' = part does not have surface flaw D = part is defective D' part is not defective Which of the following probability statements correctly identifies what this problem is asking you to find? P(FUD) P(FND) P(D|F) P(F|D) Customers are used to evaluate preliminary product designs. In the past, 95% of highly successful products received good reviews, 60% of moderately successful products received good reviews, and 10% of poor products received good reviews. In addition, 40% of products have been highly successful, 35% have been moderately successful, and 25% have been poor products. (a) What is the probability that a product attains a good review? (b) If a new design attains a good review, what is the probability that it will be a highly successful product? (c) If a product does not attain a good review, what is the probability that it will be a highly successful product? Let: H = highly successful product M = moderately successful product P = poor product G = received a good review (i.e., received bad review) G' = did not receive a good review (i.e., received bad review) Match the correct probability description to each given probability value. 0.95 0.60 0.10 0.40 0.25 Find: A. P(H' | G') B. P(H) C. P(G|M) D. P(GH) E. P(G|H) F. P(M) G.P(H|G') H. P(P) I. P(G|P)