Brand X automobiles are manufactured at three different plants, A, B and C. Factory A produces 25% of total output, B produces 55% and C produces 20%. The defect rate at Factory A is 5%, at Factory B it is 2% and at Factory C it is 8%. If you buy a Brand X auto and it turns out to be defective, what is the probability it was produced at Factory A? 0.0125 O 0.2000 O 0.2232 0.4054

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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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Brand X automobiles are manufactured at three different plants, A, B and C. Factory
A produces 25% of total output, B produces 55% and C produces 20%. The defect
rate at Factory A is 5%, at Factory B it is 2% and at Factory C it is 8%. If you buy a
Brand X auto and it turns out to be defective, what is the probability it was produced
at Factory A?
0.0125
0.2000
0.2232
0.4054
Transcribed Image Text:Brand X automobiles are manufactured at three different plants, A, B and C. Factory A produces 25% of total output, B produces 55% and C produces 20%. The defect rate at Factory A is 5%, at Factory B it is 2% and at Factory C it is 8%. If you buy a Brand X auto and it turns out to be defective, what is the probability it was produced at Factory A? 0.0125 0.2000 0.2232 0.4054
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