Question: Problem 2.54 In a bolt factory machines A, B, C manufacture, respectively, 20%,30%,and 50% of the total. Of their output 3%,2%,and 1% are defective. (a)

Problem 2.54 In a bolt factory machines A, B, C manufacture, respectively, 20%,30%,and 50% of the total. Of their output 3%,2%,and 1% are defective.

(a) A bolt is selected at random; find the probability that it is defective.

(b) A bolt is selected at random and is found to be defective. What is the probability it was produced by machine A?

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