Computing expected value in a game of chance Juan is playing a game in which he spins a spinner with 6 equalsized slices numbered 1' through 6. The spinner stops on a numbered slice at random. This game Is this: Juan spins the Spinner once. He wins 31 if the spinner stops on the number 1, 34 if the spinner stops on the number 2, 37 if the spinner stops on the number 3. and $10 if the spinner stops on the number 4. He loses $8.75 if the spinner stops on 5 or 6. (a) Find the gpected value 0? playing the game. I] dollars (b) what can Juan expect in the long run. after playing the game many times? 0 Juan can expect to gain money. He can expect to win [1 dollars per spin. 0 Juan can expect to lose money. He can expect to lose D dollars per spin. 0 Juan can expect to break even (neither gain nor lose money). _