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A population of 600 semiconductor wafers contains wafers
Chapter 2, Problem 15E(choose chapter or problem)
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. The following table presents the number of wafers in each category. A wafer is chosen at random from the population.
\(\begin{array}{ccc} \hline \text { Lot } & \text { Conforming } & \text { Nonconforming } \\ \hline \text { A } & 88 & 12 \\ \text { B } & 165 & 35 \\ \text { C } & 260 & 40 \\ \hline \end{array}\)
a. If the wafer is from Lot A, what is the probability that it is conforming?
b. If the wafer is conforming, what is the probability that it is from Lot A?
c. If the wafer is conforming, what is the probability that it is not from Lot C?
d. If the wafer is not from Lot C, what is the probability that it is conforming?
Questions & Answers
QUESTION:
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. The following table presents the number of wafers in each category. A wafer is chosen at random from the population.
\(\begin{array}{ccc} \hline \text { Lot } & \text { Conforming } & \text { Nonconforming } \\ \hline \text { A } & 88 & 12 \\ \text { B } & 165 & 35 \\ \text { C } & 260 & 40 \\ \hline \end{array}\)
a. If the wafer is from Lot A, what is the probability that it is conforming?
b. If the wafer is conforming, what is the probability that it is from Lot A?
c. If the wafer is conforming, what is the probability that it is not from Lot C?
d. If the wafer is not from Lot C, what is the probability that it is conforming?
ANSWER:Answer
Step 1 of 5
Here they have given 600 semiconductor wafers from 3 lots and it is categorized by conforming and nonconforming
No. of wafers=600
No. of confirming wafers=88+165+260
=513
No. of confirming wafers=12+35+40
=87