Essay; show all work. The property restoration company PuroServ is considering switching to new dehumidifiers. Their market research, considering the cost of the new machines and their efficiency, tells them that the switch would give them a 75% chance of making a $20,000 profit, a 5% chance of breaking even, and a 20% chance of losing $5,000. How much money does PuroServ expect to make with their new purchase?

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A community 5K run will award $50 to the winner. 75 people enter the race, and they each pay an entry fee of $20. Assuming they are all equally likely to win, what is a fair price for the competition? Round to the nearest cent.