Two machines turn out all the products in a factory, with the first machine producing 35% of the product and the second 65%. The first machine produces defective products 7% of the time and the second machine 2% of the time (a) What is the probability that a defective part is produced at this factory given that it was made on the first machine?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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Two machines turn out all the products in a factory, with the first machine producing 35% of the product and the second 65%. The first machine produces defective products 7% of the time and the second machine 2% of the time

(a) What is the probability that a defective part is produced at this factory given that it was made on the first machine?

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How about for b)

b) What is the probability that a defective part is produced at this factory? 

 

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