. Question 21 v A class of 24 students took a short quiz. 2 students missed no questions, 5 missed one question, 5 missed two questions, 6 missed three questions and 6 missed four questions. Find the expected number of missed questions for a randomly chosen student on this quiz. Round to two decimals. Keep at least four decimals in any intermediate calculations. . Question 22 v In a lottery, 160 tickets are sold at 1 dollars per ticket. There is 1 first prize of $50.00, 3 second prizes of $30 and 3 third prizes of $10.00. a. Find the net expected winnings {amount won - cost of ticket} on one ticket. Your answer might be positive or negative. Round to two decimals. Keep at least four decimals in any intermediate calculations. The expected net gain is S b. Should you play this Lottery? '53:} Yes, since expected net gain is not negative '3' No, since expected net gain is negative 0 Question 23 v A car insurance company has determined that there is a 12% chance that you will incur 100 dollars in damages in a given year. There is also a 7% chance of 500I dollars in damages, a 4% chance of 3000 dollars in damages and a 2% chance of 10000 dollars in damages. a. Find the expected payout in a given year. Do not round. The expected payout is S b. If they wish to make an expected $150 profit per year on your account, how much should they charge