Of grocery shoppers who have a shopping cart, 70 percent pay
by credit/debit card (event C1), 20 percent pay cash (event C2), and 10 percent
pay by check (event C3). Of shoppers without a grocery cart, 50 percent pay by
credit/debit card (event C1), 40 percent pay cash (event C2), and 10 percent
pay by check (event C3). On Saturday morning, 80 percent of the shoppers take a
shopping cart (event S1) and 20 percent do not (event S2). (a) Sketch a tree
based on this data. (b) Calculate the probability of all joint probabilities
(e.g., S1 _ C1). (c) Verify that the joint probabilities sum to 1.
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