9. Problem 50 (Chapter 2)
Short-sleeved
Pattern
Size Plaid Print Stripe
S 0.04 0.02 0.05
M 0.08 0.07 0.12
L 0.03 0.07 0.08
Long-sleeved
Pattern
Size Plaid Print Stripe
S 0.03 0.02 0.03
M 0.10 0.05 0.07
L 0.04 0.02 0.08
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 shorts). The accompanying tables
give the proportions of shirts sold in a 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?
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(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-sleeved?