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QUESTION 3 Three Thachines turn out all the products in a factory, with the first machine producing 28% of the product, the second machine producing 28% of the product, and the third machine producing the rest. The first machine produces defective products 5% of the time, the second machine produces defective products 6% of the time, and the third machine produces defective products 3% of the time. Given a defective product, what is the probability it was produced on the first machine