We are given the life table A whole life insurance policy pays 75,000 at the end of year of death. (a) Calculate the actuarial present value for the life insurance issued to a person age (97) assuming an annual effective interest rate of 5%. (b) Calculate the variance of the present value for the life insurance issued to a person age (97) assuming an annual effective interest rate of 5%. (c) The insurer deposits 6,806,331.714 into a fund earning interest at an annual effective rate of 5%. Find the probability that the fund will be adequate to cover the payments of 100 insurees age (97)