50. A department store sells sport shirts in three sizes (small, medium, and large), three patterns (plaid,
Question:
50. 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 .04 .02 .05 M .08 .07 .12 L .03 .07 .08 Long-sleeved Pattern Size Pl Pr St S .03 .02 .03 M .10 .05 .07 L .04 .02 .08
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 shortsleeved 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? Longsleeved?
Step by Step Answer:
Probability And Statistics For Engineering And The Sciences
ISBN: 9781133169345
8th Edition
Authors: Jay L Devore, Roger Ellsbury