a X Muualtv NN x M Grades tor Suha Jaboobs C x c Home l Cheg

a X Muualtv NN x M Grades tor Suha Jaboobs C x c Home l Chegg.com x Person 1 WA Homework 3 Chapter 2 c Statistics and Probability C www.webassign.net 1330554 /web/Student/Assignment-Responses/last?dep 2. 8/9 points l Previous Answers Stat9 2.E.050 My Notes Ask Your Teacher A department store se s 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 PI Pr St 0.04 0.02 0.05 0.05 0.08 0.12 0.03 0.07 0.08 Long-sleeved Pattern Size PI Pr St 0.03 0.02 0.03 0.08 0.09 0.07 0.04 0.02 0.08 (a) What is the probability that the next shirt sold is a medium, long-sleeved, print shirt? 0.09 b) Wha s the probability th at the next shirt sold is a m edium print shirt? 0.17 c) What is the probability that the next shirt sold is a short-sleeved shirt? A long-sleeved shirt? short-sleeved shirt 0.54 long-sleeved shirt 0.46 (d) What is the probability that the size of the next shirt sold is medium? 0.49 What is the probability that the pattern of the next shirt sold is a print? 0.3 a short-sleeved plaid, what is the probability tha e) en that the shirt just sold s size was medium? Round your answer to three decimal places was 0.416 (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 0.385 long-sleeved 0.615 Need Help? Read it Talk a Tutor

Solution

Given the short sleeved plaid was just sold, the proportion of short sleeved plaid = 0.04+0.05+0.03 = 0.12

Probability of size was medium given short sleeved plaid = 0.05/0.12 = 0.41667= 0.417 ( rounded to three decimals)