In the following problems 4 and 5, use the Standard Ultimate Life Table provided by SOA and interest is at 5% per year effective, and the equivalence principle for the calculation ofpremium. 4. Consider a whole life insurance with level premium P payable annually in advance issued to a life 50, with sum insured $150,000 payable at the end of the year of death. (a) Write down an expression for the net future loss random variable I (6 pts.) (0) Caceulatethe net ammual premium P (pa) (e) Calculate the standard deviation of (6 pts.) In the following problems 4 and 5, use the Standard Ultimate Life Table provided by SOA and interest is at 5% per year effective, and the equivalence principle for the calculation ofpremium. 4. Consider a whole life insurance with level premium P payable annually in advance issued to a life 50, with sum insured $150,000 payable at the end of the year of death. (a) Write down an expression for the net future loss random variable I (6 pts.) (0) Caceulatethe net ammual premium P (pa) (e) Calculate the standard deviation of (6 pts.)