a) A rental car company rents 100 cars a week. On each car rented and returned undamaged, the company makes $200 net for the week. Every week an average of 5 cars are returned with significant damage that costs the company a net of $5000 each in repairs and lost rental income. In the long run how much should the company expect to make each week? b) Customers can use a manufacturer's coupon and a store coupon to obtain a discount when buying soap powder in a certain store. In one week, 70 percent of the customers used the store coupon and 35 percent used the manufacturer's coupon when purchasing the soap powder. 15 percent of the customers used neither coupon when purchasing the soap powder. What percent of the customers who used a coupon used both the manufacturer's coupon and the store coupon? a) 20.0% b) 23.5% c) 28.6% d) 57.1% e) None of the above c) You have been diagnosed with COVID-19. There are two hospitals in the area that can treat you. Below are the results of treating 1000 patients at each hospital, based on their condition on arrival. Which hospital do you choose for the best chance of a full recovery?

Hospital A	Fair Condition	Poor Condition
Full Recovery	90	400
Partial Recovery	10	500
Total	100	900
Hospital B	Fair Condition	Poor Condition
Full Recovery	700	10
Partial Recovery	200	90
Total	900	100

A school is holding a raffle. After the first winning ticket is drawn, it is taped to the prize. The next ticket is then drawn to determine the winner of the second prize. Are the two events independent? Explain.