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Company A produces 15% of the refrigerators in a certain area

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Company A produces 15% of the refrigerators in a certain area. Company B produces 40% of the refrigerators, and Company C produces the rest. It has been estimated that 1% of Company A's refrigerators need repair within the first year, 2% of Company B's need repair within the first year, and 1.5% of Company C's need repair within the first year. Use this information to answer the questions that follow. Round decimal answers to 4 decimal places, where needed.

a. What is the probability that a refrigerator was manufactured by Company A, given that it needs repair with in its first year?

b. What is the probability that a refrigerator needs repair within its first year, given that it was manufactured by Company A?