You set up a carnival booth game at a local fund-raising event. The game consists of rolling a giant six-sided die. The die is fair, so each individual roll has a probability of %. Game participants pay $3 per roll. A participant who rolls a 6 wins a prize that costs you $8. A participant who rolls a 1 wins a prize that costs you $2.50. Participants who roll other numbers win nothing. An average of 35 participants play your game each hour, and the event lasts 8 hours. How much money do you expect to raise during the event? Set up a probability distribution table to help you solve this problem. (Hint: Use the table below. Think about the expected earnings the booth owner will receive for each person who plays the game, and then think about how many people will play in the 8 hours.) ROUND TO 4 DECIMALS. DON'T WRITE DOWN THE $ SYMBOL Roll 6. 1 2,3,4 or 5 Earnings, x Probability, P(x) Earnings * Probability= x*P(x) The expected money to be raise for this event is $