Acertain insurance company charges mike's wife $250 for a one-year $100,000 life insurance policy. because mike is a 21 year-old male, there is a 0.9985 probability that he'll live for a year. (u. s. national center for health statistics). the probability distribution for x, the profit of mike's wife, is: x -250 99,750 prob the mean of x is (exact answer) $ the standard deviation of x (to the nearest dollar) is $ if the company sells many, many such policies, they are paying out about $ per policy in the long run, and thus making a profit of about $ per policy in the long run. if the company sells 800 such policies, they'll probably make a profit of about $