0.07 0.08 0.04 0.03 0.02 0.08 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 short-sleeved shirt? d. What is the probability that the size of the next shirt sold is medium? e. Given that the shirt just sold was a short-sleeved plaid, what is the probability that its size was medium?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 43SE: A wholesale T-shirt company oilers sizes small, medium, large, and extra-large in organic or non-...
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) 2. A department store sells sport shirts in three sizes (small, medium, and
large), three patterns (plaid, print, and stripe), and two sleeves lengths (long and short).
The accompanying tables give the proportions of shirts sold in the various category
combinations.
Short-sleeved
Long-sleeved
Pattern
Pattern
Size
PI
Pr
St
Size
PI
Pr
St
0.04
0.02
0.05
0.03
0.02
0.03
M
0.08
0.07
0.12
M
0.10
0.05
0.07
L
0.03
0.07 0.08
L
0.04
0.02
0.08
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 short-sleeved shirt?
d. What is the probability that the size of the next shirt sold is medium?
e. Given that the shirt just sold was a short-sleeved plaid, what is the probability that
its size was medium?
Transcribed Image Text:) 2. A department store sells sport shirts in three sizes (small, medium, and large), three patterns (plaid, print, and stripe), and two sleeves lengths (long and short). The accompanying tables give the proportions of shirts sold in the various category combinations. Short-sleeved Long-sleeved Pattern Pattern Size PI Pr St Size PI Pr St 0.04 0.02 0.05 0.03 0.02 0.03 M 0.08 0.07 0.12 M 0.10 0.05 0.07 L 0.03 0.07 0.08 L 0.04 0.02 0.08 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 short-sleeved shirt? d. What is the probability that the size of the next shirt sold is medium? e. Given that the shirt just sold was a short-sleeved plaid, what is the probability that its size was medium?
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