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Quality control: A population of 606 semiconductor wafers contains wafers from three lots. The wafers are categorized by lot and by whether they conform to a thickness specification, with the results shown in the following table. A wafer is chosen at random from the population. Write your answer as a fraction or a decimal, rounded to four decimal places. Lot Conforming Nonconforming A 81 17 B 167 37 C 263 41 Send data to Excel (a) What is the probability that the wafer is from Lot A? (b) What is the probability that the wafer is conforming? (c) What is the probability that the wafer is from Lot A and is conforming? (d) Given that the wafer is from Lot A, what is the probability that it is conforming? (e) Given that the wafer is conforming, what is the probability that it is from Lot A? (f) Let E, be the event that the wafer comes from Lot A, and let E, be the event that the wafer is conforming. Are E, and E,More defective components: A lot of 965 components contains 285 that are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective, and let 3 be the event that the second component drawn is defective. Write your answer as a fraction or a decimal, rounded to four decimal places. (a) Find P(A). (b) Find P (B | A). (c) Find P (A and B). (d) Are A and B independent? Is it reasonable to treat A and B as though they were independent? Explain. Part: 0 / 4Let A and B be events with P (A) =0.3, P(B) =0.6, and P(A or B) = 0.7. (a) Compute P (A and B). (b) Are A and B mutually exclusive? Explain. (c) Are A and B independent? Explain. Part: 0 / 3 Part 1 of 3 (a) Compute P (A and B). P (4 and B) = X 5