5. A fully continuous 30 -payment years, whole life insurance of 5000 is issued to (40). You are given A40+n A 40,:30n 13.049173 0.168110 10 0.267636 10.662510 25 0.480688 4.038099 (x) = 0.00005 1.1, x > 0 8 = 6% Hence tPa = exp {-0.0005246 1.1 (1.1 1)} , t > 0, x > 0 a) Find the premium. b) Determine L; for j = 10, 25. c) Find L10 if T 12.3 and 25 L if T = 27.4 %3D d) Find E [L;|T > j] for j = 10, 25 e) Find Pr (L10 < 4000|T > 10))