There are 200 people receiving annual pension from a fund. Half of them are age 60 and the other half are age 65. Each person receives $5,000 at the beginning of each year as long as they are alive. The lives are assumed to be independent. Assume mortality follows the Standard Ultimate Life Table with interest rate 5% per year. a) Calculate the Expected Present Value of the total outgo from this fund. b) Calculate the Standard Deviation of the Present Value of the total outgo from this fund. c) Calculate the 99% percentile of the distribution of the present value of the total outgo from this fund, using Normal Approximation. Pr (Z