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. Short-sleeved   Pattern Size     Pl         Pr         St     S 0.04 0.02 0.05 M 0.06 0.08 0.12 L 0.03 0.07 0.08   Long-sleeved   Pattern Size     Pl         Pr         St     S 0.03 0.02 0.03 M 0.06 0.10 0.07 L 0.04 0.02 0.08 (e) Given that the shirt just sold was a short-sleeved plaid, what is the probability that its size was medium? (Round your answer to three decimal places.) (f) Given that the shirt just sold was a medium plaid, what is the probability that it was short-sleeved? Long-sleeved? (Round your answer to three decimal places.) short-sleeved        long-sleeved

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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.

Short-sleeved
  Pattern
Size     Pl         Pr         St    
S 0.04 0.02 0.05
M 0.06 0.08 0.12
L 0.03 0.07 0.08

 

Long-sleeved
  Pattern
Size     Pl         Pr         St    
S 0.03 0.02 0.03
M 0.06 0.10 0.07
L 0.04 0.02 0.08

(e) Given that the shirt just sold was a short-sleeved plaid, what is the probability that its size was medium? (Round your answer to three decimal places.)
 

(f) Given that the shirt just sold was a medium plaid, what is the probability that it was short-sleeved? Long-sleeved? (Round your answer to three decimal places.)

short-sleeved       
long-sleeved    
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