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 PatternSize Pl Pr St S0.040.020.05M0.060.080.12L0.030.070.08 Long-sleeved PatternSize Pl Pr St S0.030.020.03M0.060.100.07L0.040.020.08(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

e). The probability that the shirt size was medium given that the shirt sold was short-sleeved is…

Answered: A department store sells sport shirts…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 13CYU

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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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