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 S0.040.020.05M0.080.050.12L0.030.070.08Long-sleeved PatternSize Pl Pr St S0.030.020.03M0.070.100.07L0.040.020.08(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? A long-sleeved shirt?short-sleeved shirt long-sleeved shirt (d) What is the probability that the size of the next shirt sold is medium?What is the probability 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? (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 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-sleevedSizeSMLPI0.040.080.03Long-sleevedSizeSMLPl0.030.070.04PatternPr0.020.050.07PatternPr0.020.100.02St0.050.120.08St0.030.070.08(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? A long-sleeved shirt?short-sleeved shirtlong-sleeved shirt(d) What is the probability that the size of the next shirt sold is medium?What is the probability 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? (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-sleevedlong-sleeved

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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Related questions

Question

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	0.08	0.05	0.12
L	0.03	0.07	0.08

Long-sleeved
	Pattern
Size	Pl	Pr	St
S	0.03	0.02	0.03
M	0.07	0.10	0.07
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? A long-sleeved shirt?

short-sleeved shirt
long-sleeved shirt

(d) What is the probability that the size of the next shirt sold is medium?

What is the probability 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? (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.)