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The members of a consulting firm rent cars from three rental agencies. It is estimated that...

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The members of a consulting firm rent cars from three rentalagencies. It is estimated that 0.39 percent of cars come fromagency 1, 0.08 percent of cars come from agency 2, and 0.53 percentof cars come from agency 3. It is also estimated that 0.07 percentof cars from agency 1 need a tune-up, 0.05 percent of cars fromagency 2 need a tune-up, and 0.03 percent of cars from agency 3need a tune-up. Answer the following questions, rounding youranswers to two decimal places where appropriate.

(a) What is the probability that a rental cardelivered to the firm will need a tune-up?

(b) If a rental car delivered to the firm needs atune-up, what is the probability that it came from agency 2?

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