Question

Quality control: A population of 577 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	83	13
B	167	27
C	254	33

(b) What is the probability that the wafer is conforming?(a) What is the probability that the wafer is from Lot A?

(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 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?

Answer 1

Conferming No commune ng 83 167 २१ 3 3 b) Pl water is conforming sou as 572 Apl water is from Lot. A = 96 577 - 10.1664 3) P.1 Lot A n ů conforming) = 83 stz = 0,1438 7 Pl Wafer is conforming / Lot Ay = 83 83 . . to.8876 S7 Pl Lotal Conforming) = . [01647 6) PI&I= 96 P& & soy. 377 S04 o.167 = soy T 577 So, PlanE) = 83 577 seiplerne? # PL €). PCEX Not Sandependent