Actuarial mathematics

Given that the CORRECT answers are:

a) Please show full work for this.

b) Mean: 116.68, Standard Deviation: 11663.78

Exercise 7.8 You are given the following extract from a select life table with four-year select period. A select individual aged 41 purchased a three-year term insurance with a sum insured of $200000, with premiums payable annually throughout the term. Assume an effective rate of interest of 6% per year, and no expenses. (a) Show that the premium for the term insurance is P=$323.59. (b) Calculate the mean and standard deviation of the present value of future loss random variable, L1, for the term insurance