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Suppose that 40% of a company's television sets are manufactured at a plant in Portland and 60% at a plant in Houston. Of those made in Portland, 4% are defective, and of those made in Houston 9% are defective.
(a) What fraction of their total production is defective? (Express your answer as a decimal number and not as a percentage.)
(b) If you buy a defective set from the company, what is the conditional probability that it was made in Houston?
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