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Two machines turn out all the products in a factory, with the first machine producing 30% of the product and the second 70%. The
Two machines turn out all the products in a factory, with the first machine producing 30% of the product and the second 70%. The first machine produces defective products 4% of the time and the second machine 8% of the time. Given a defective product, what is the probability it was produced on the first machine? (Round your answer to four decimal places.) Three machines turn out all the products in a factory, with the first machine producing 20% of the products, the second machine 25%, and the third machine 55%. The first machine produces defective products 2% of the time, the second machine 6% of the time and the third machine 18% of the time. What is the probability that a non-defective product came from the second machine? (Round your answer to four decimal places.)
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