Round all answers to 4 decimal places. Assume ultimate mortality unless otherwise stated. Using AM92 and an interest rate of 4%, evaluate the following (show your working): (a) The probability that a life aged 64 dies between age 73 and 77. (b) The expected present value and standard deviation of the present value of an immediate annuity of $1000 payable in arrears to a life aged 55 for 9 years. Also using AM92 and an interest rate of 4%, approximate the following (show your working): (c) The probability that a life aged 40.7 that was select at age 40, dies in the next year. Assume a uniform distribution of deaths between integer ages. (d) The expected present value of $100 payable immediately on death to a life aged 35. (e) The expected present value of an annuity paying $50 per month in advance to a life aged 50 for a term of 10 years.