Suppose that an insurance company insures more than one million individuals with a policy that the company actuaries believe will net them an average profit of $20 per month per policy (total premiums collected minus payouts for claims and overhead, divided by the number of such policies that they carry). assume that total dollar amount of claims each month varies randomly. which of the statements do not accurately reflect the meaning of the law of large numbers.

Kevin is an insurance salesman. when he sells a policy, he makes 20 percent of the policy premium (p) up front; then each year the policy is active, he receives 15 percent of the original premium. which equation could be used to figure his total commission on a policy that has been active for five years? c=0.80p c=0.20p + 0.15p c=0.35p + 4(0.15) c=0.95p

Four airplanes carrying a total of 400 passengersarrive at the detroit airport. the airplanes carry, respectively,50, 80, 110, and 160 passengers. a) one of the 400 passengers is selected uniformly at random. let x denote the number of passengers that were on theairplane carrying the randomly selected passenger. find var(x)for x as given in the problemb) one of the 4 airplane drivers is also selected uniformly atrandom. let y denote the number of passengers on the chosen driver’s airplane. find var(y) for y as given in the problem

For what values of x is x2 + 2x = 24 true?