7. County Farm Insurance sells a 1-year life insurance policy to Kyle for $375. The policy is for $100,000 (meaning that if the person who purchases the policies dies during the year the insurance company will pay $100,000 to the Kyle's wife). According the actuarial tables the likelihood that Kyle survives the year is roughly 0.9987. Let X represent the amount of money that the insurance company will make off of Kyle's purchase of the policy.

a) (6pts) Create a probability distribution for X.

a) (6pts) What is the average and standard deviation of X? Use correct units and symbols in your answers.