King mattress purchases sleep-n-air mattresses from three different distributors. the probability of getting a defective mattress from distributor a, b, or c is 0.18, 0.12, and 0.54, respectively. assume an equal probability of making a purchase from each distributor a, b, or
c. if king mattress sells a defective mattress, what is the probability that it came from distributor a?
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