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 C?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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 C?

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