Exercise 4.18 You are given the following excerpt from a select life table. [x] /[x]+1 1( x]+2 1(x]+3 1x+4 x+4 [40] 100 000 99 899 99 724 99 520 99 288 44 [41] 99 802 99 689 99 502 99 283 99 033 45 [42] 99 597 99 471 99 268 99 030 98 752 46 [43] 99 365 99 225 99 007 98 747 98 435 47 [44] 99 120 98 964 98 726 98 429 98 067 48 Assuming an interest rate of 6% per year, calculate (a) A 40]+1:41. (b) the standard deviation of the present value of a four-year term insurance, deferred one year, issued to a newly selected life aged 40, with sum insured $100 000, payable at the end of the year of death, and (c) the probability that the present value of the benefit described in part (b) is less than or equal to $85 000