Given that (x) is equal to 0.02 (048). How would we be able to find omega () with the given information? Is it possible to find omega?

Subject: Actuarial Mathematics

Thank you.

A special continuous whole life insurance is issued to (30). The death benefit is $100 if death occurs in the next 5 years, increases to 200 be- tween 5 and 10, and so on. You are given that u(x) = 0.02, 0 48 and 8 = 8% a) Define Z. b) Find E [Z] (you can use Excel). c) Find P [Z