11. A department store analyzed its most recent sales and deter- mined the relat

Question

11. A department store analyzed its most recent sales and deter- mined the relationship between the way a customer paid for an item and the price category of the item. The joint probabilities are given in the table below. Cash Credit Card Debit Card 0.04 0.2 0.26 0.03 0.2 0.12 Under 20 Dollars 0.09 20-100 Dollars 0.05 Over 100 Dollars 0.01 A. What proportion of purchases were paid with a debit card? Proportion- B. Find the probability that a credit card purchase was for over 100 dollars. Probability C. Determine the proportion of purchases made by credit card or debit card. Proportion

Explanation / Answer

a) Proportion of purchase done by debitcard = 0.35

b) Probability for credit card purchase over 100 dollars= 0.26

c) Proportion of prchase made by debit card or credit card= 0.35+0.5= 0.4

CASH CREDIT CARD DEBIT CARD TOTAL UNDER 20 DOLLARS 0.09 0.04 0.03 0.16 20-100 DOLLARS 0.05 0.2 0.2 0.45 OVER 100 DOLLARS 0.01 0.26 0.12 0.39 TOTAL 0.15 0.5 0.35 1

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