A population of 600 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.

a. What is the probability that a wafer is from Lot A?

b. What is the probability that a wafer is conforming?

c. What is the probability that a 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 E1 be the event that the wafer comes from Lot A, and let E2 be the event that the wafer is conforming. Are E1 and E2 independent? Explain.

Transcribed Image Text:

Lot Conforming Nonconforming A 88 12 B 165 35 C 260 40