2 Insurance Farm State offers a simple insurance policy for drivers. Drivers pay a premium to Farm State each month; if they are in an accident, then Farm State will determine the severity of the accident and pay out between $10,000 - 40,000 in increments of $10,000. From historic data, Farm State has the following PDF of what the company has had to pay drivers each year: X=$ paid to drivers | 0 P(X = z) 0.55 | 10,000 0.2 20,000 | 30,000 | 40,000 0.15 0.05 0.05 a) How much money does Farm State expect to have to pay customer (driver)? b) What's the standard deviation? c) Could Farm State stay in business if they charged $400 per month for the average premium