Quality control: A population of 610 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 A B C Conforming 93 164 266 Send data to Excel Nonconforming 21 39 27 D (a) What is the probability that the wafer is from Lot C? (b) What is the probability that the wafer is conforming? (c) What is the probability that the wafer is from Lot C and is conforming? 4 h

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
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Quality control: A population of 610 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
A
B
с
Conforming
93
164
266
Send data to Excel
Nonconforming
21
39
27
h
(a) What is the probability that the wafer is from Lot C?
(b) What is the probability that the wafer is conforming?
(c) What is the probability that the wafer is from Lot C and is conforming?
(d) Given that the wafer is from Lot C, what is the probability that it is conforming?
(e) Given that the wafer is conforming, what is the probability that it is from Lot C?
(f) Let E, be the event that the wafer comes from Lot C, and let E₂ be the event that the wafer is conforming. Are E, and E, independent?
m
olh
Transcribed Image Text:Quality control: A population of 610 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 A B с Conforming 93 164 266 Send data to Excel Nonconforming 21 39 27 h (a) What is the probability that the wafer is from Lot C? (b) What is the probability that the wafer is conforming? (c) What is the probability that the wafer is from Lot C and is conforming? (d) Given that the wafer is from Lot C, what is the probability that it is conforming? (e) Given that the wafer is conforming, what is the probability that it is from Lot C? (f) Let E, be the event that the wafer comes from Lot C, and let E₂ be the event that the wafer is conforming. Are E, and E, independent? m olh
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