Consider a 20-year annual premium endowment insurance with sum insured $100000 issued to a select life aged 35. Assume initial expenses of 3% of the basic sum insured and 20% of the first premium, and renewal expenses of 3% of the second and subsequent premiums. Assume that the death benefit is payable at the end of the year of death. a) Write down an expression for the gross future loss random variable. b) Calculate the gross annual premium. c) Calculate the probability that the contract makes a profit