1. A baker is deciding how many batches of muffins to make to sell in his bakery. He wants to make enough to sell every one and no fewer. Through observation, the baker has established a probability distribution. X P(x) 3 0.35 4 0.40 0.10 P (x > 1 ) = a. What is the probability the baker will sell more than one batch? P(X = 1) = b. What is the probability the baker will sell exactly one batch? c. On average, how many batches should the baker make? 2. You are playing a game by drawing a card from a standard deck and replacing it. If the card is a even-numbered card, you win $5. If it is an Ace, you win $7. If it is neither, you pay $2. Find the expected value. Should you play the game? 3. On average, a clothing store gets 120 customers per day. The number of customers that visit the clothing store follows a Poisson Distribution. a. What is the average number of customers the store should expect in the first four hours? Assume the store is open 12 hours each day. b. What is the probability of getting more than 1 customer, but less than 4 customers in the first four hours