Send data to Excel (a) What is the probability that the wafer is from Lot A? (b) What is the probability that the wafer is nonconforming? (c) What is the probability that the wafer is from Lot A and is nonconforming? sconforming?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Quality control: A population of 598 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
85
164
256
Nonconforming
14
34
45
Send data to Excel
(a) What is the probability that the wafer is from Lot A?
(b) What is the probability that the wafer is nonconforming?
(c) What is the probability that the wafer is from Lot A and is nonconforming?
(d) Given that the wafer is from Lot A, what is the probability that it is nonconforming?
(e) Given that the wafer is nonconforming, 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 E, be the event that the wafer is nonconforming. Are E, and
independent?
Transcribed Image Text:Quality control: A population of 598 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 85 164 256 Nonconforming 14 34 45 Send data to Excel (a) What is the probability that the wafer is from Lot A? (b) What is the probability that the wafer is nonconforming? (c) What is the probability that the wafer is from Lot A and is nonconforming? (d) Given that the wafer is from Lot A, what is the probability that it is nonconforming? (e) Given that the wafer is nonconforming, 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 E, be the event that the wafer is nonconforming. Are E, and independent?
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