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A department store sells sport shirts in three sizes (small, medium, and large), three patterns (plaid, print, and stripe), and two sleeve lengths (long and short). The accompanying tables give the proportions of shirts sold in the various category combinations.(a) What is the probability that the next shirt sold is a medium, long-sleeved, print shirt?(b) What is the probability that the next shirt sold is a medium print shirt?(c) What is the probability that the next shirt sold is a short-sleeved shirt? A long-sleeved shirt?(d) What is the probability that the size of the next shirt sold is medium? That the pattern of the next shirt sold is a print?(e) Given that the shirt just sold was a short-sleeved plaid, what is the probability that its size was medium?(f) Given that the shirt just sold was a medium plaid, what is the probability that it was short-sleeved? Long-sleved?

(a) .05 $\\$(b) .12$\\$ (c) .56, .44$\\$ (d) .49, .25$\\$ (e) .533$\\$ (f) .444, .556

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