uality control: A population of 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 93 21 B 170 28 C 260 31 (a) What is the probability that the wafer is from Lot C? (b) What is the probability that the wafer is nonconforming? (c) What is the probability that the wafer is from Lot C and is nonconforming? (d) Given that the wafer is from Lot C, what is the probability that it is nonconforming? (e) Given that the wafer is nonconforming, what is the probability that it is from Lot C? (f) LetE be the event that the wafer comes from Lot C, and letE be the event that the wafer is nonconforming. Are and independent
uality control: A population of
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 |
93 |
21 |
||
|
B |
170 28 |
|
||
C 260 31
(a) What is the
(b) What is the probability that the wafer is nonconforming?
(c) What is the probability that the wafer is from Lot C and is nonconforming?
(d) Given that the wafer is from Lot C, what is the probability that it is nonconforming?
(e) Given that the wafer is nonconforming, what is the probability that it is from Lot C?
(f) LetE be the
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