2) (10 marks) You are given the following select and ultimate mortality table: Age x Attained age 9[x] 9[x]+1 9[x]+2 Ix+3 x+3 70 71 72 73 74 0.0175 0.0190 0.0210 0.0235 0.0265 0.0250 0.0275 0.0300 0.0335 0.0375 0.0315 0.0345 0.0375 0.0410 0.0450 0.0375 0.0425 0.0465 0.0515 0.0570 73 74 75 76 77 a) (3 marks) What is the probability an individual currently age 72 but who was accepted for insurance 2 years ago, will die between ages 76 and 78? (answer rounded to 5 decimal places) b) (3 marks) Let A be the probability that a select life age 73 survives 3 years. Let B be the probability that an ultimate life survives 3 years. Calculate |A - Bl. c) (4 marks) Assuming i =5%, calculate 25,000, *[71]:4 2) (10 marks) You are given the following select and ultimate mortality table: Age x Attained age 9[x] 9[x]+1 9[x]+2 Ix+3 x+3 70 71 72 73 74 0.0175 0.0190 0.0210 0.0235 0.0265 0.0250 0.0275 0.0300 0.0335 0.0375 0.0315 0.0345 0.0375 0.0410 0.0450 0.0375 0.0425 0.0465 0.0515 0.0570 73 74 75 76 77 a) (3 marks) What is the probability an individual currently age 72 but who was accepted for insurance 2 years ago, will die between ages 76 and 78? (answer rounded to 5 decimal places) b) (3 marks) Let A be the probability that a select life age 73 survives 3 years. Let B be the probability that an ultimate life survives 3 years. Calculate |A - Bl. c) (4 marks) Assuming i =5%, calculate 25,000, *[71]:4