[15 marks] Kurt and Courtney purchase an insurance policy. The policy pays $25,000 at the time of the first death and pays an additional $50,000 at the time of the last death if both die within 1 year of issue. Given... . U kunt = 0.035 Courtney = 0.02 2=0.001 8 = 0.05 . (a) [2] Calculate the probability that Courtney dies within 10 years. (b) [5] Calculate the net single premium for the insurance policy. (c) [4] Calculate the variance of the present value of the future benefits. (d) [4] What is the probability that Kurt dies before Courtney? [15 marks] Kurt and Courtney purchase an insurance policy. The policy pays $25,000 at the time of the first death and pays an additional $50,000 at the time of the last death if both die within 1 year of issue. Given... . U kunt = 0.035 Courtney = 0.02 2=0.001 8 = 0.05 . (a) [2] Calculate the probability that Courtney dies within 10 years. (b) [5] Calculate the net single premium for the insurance policy. (c) [4] Calculate the variance of the present value of the future benefits. (d) [4] What is the probability that Kurt dies before Courtney