3. A shopping mall estimates the probability distribution of the number of stores mall customers visit, as shown in the table. x (number 0 of Stores) Probability 04 1 19 2 .22 3 28 4 12 5 .09 a. What is the probability that a shopper will visit less than 2 stores? At least 3 stores? c. Find the mean of the number of stores mall customers entered. 6 b. What is the probability that a shopper will visit at least 4 stores in two days consecutively? .06 d. Suppose that, on average, a customer spends 10 minutes in each store they enter. What is the approximate time customer spend in the mall? b. If you played this game 200 times, how much would you expect to win? 4. If you draw 2 spades on 2 consecutive draws from a standard deck of cards, you won $43. Otherwise, you owe me $4. a. Find the expected value of the propositions.