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 specication, 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 87 13 B 165 40 269 32 I Send data to Excel): (a) What is the probability that the wafer is from Lot B? (b) what is the probability that the wafer is conforming? (c) what is the probability that the wafer is from Lot B and is conforming? (d) Given that the wafer is from Lot B, what is the probability that it is conforming? (e) Given that the wafer is conforming, what is the probability that it is from Lot B? (f) Let E1 be the event that the wafer comes from Lot B, and let E; be the event that the wafer is conforming. Are E1 and E2 independent