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D Cleveland Average HighxCourse Content eC ezto.mheducation.com/mm.tpx x ChapterS Connect E connect BUSINESS STATISTICS Chapter 5 Question 4 (of 5) 4. 2.00 points The credit department of Lions Department Store in Anaheim, California reported that 28% of ther sales are cast, 20% are pad with a aedt card ad 46% with a detta i Twenty percen cash purchases, 90% ofthe credit card purchases, and 55% ofthe debt card purchases are for more than SS0 Ms Tina Stevens just purchased a new dress that cost $120. What is the probability that she paid cash? Round your answer to 3 decimal places) Probability References eBook & Resources Worksheet Difficuity 3 Challenge O Type here to search

Explanation / Answer

P(cash) = 0.28

P(credit card) = 0.26

P(debit card) = 0.46

P(more than $50 | cash) = 0.2

P(more than $50 | credit card) = 0.9

P(more than $50 | debit card) = 0.55

P(more than $50) = P(more than $50 | cash) * P(cash) + P(more than $50 | credit card) * P(credit card) + P(more than $50 | debit card) * P(debit card)

                             = 0.2 * 0.28 + 0.9 * 0.26 + 0.55 * 0.46

                             = 0.543

P(cash | more than $50) = P(more than $50 | cash) * P(cash) / P(more than $50)

                                        = 0.2 * 0.28 / 0.543

                                        = 0.103

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