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Bayes' Theorem

In a factory ...

Question

In a factory which manufactures bolts, machines A, B and C manufacture respectively 30%, 35% and 40% of the bolts. Of their outputs, 5, 4 and 2 percent are respectively defective bolts. A bolt is drawn at random from the product and is found to be defective. What is the probability that it is manufactured by the machine C?

A

8/37

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B

37

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C

8

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D

30

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Solution

The correct option is A
8/37

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