question 3

3. Answer the following questions: (a) (1 point) You are given: Ar = 0.30, Az+n = 0.40, Ex = 0.35, i = 0.05, Calculate a (b) (2 points) You are given A, = 0.3443, P. =0.86, i = 0.04, find ar+1. (c) (3 points) Consider two random variables Y = ra and Z = v1. Show that their covarian negative, and briefly explain it in words. 4. You are given the following extract from a select life table. 2 4+1 4+2 X+2 40 33 519 33 485 33 440 42 41 33 467 33 428 33 378 43 42 33 407 33 365 33 309 44 43 33 340 33 294 33 231 45 44 33 265 33 213 33 143 46 3. Answer the following questions: (a) (1 point) You are given: Ar = 0.30, Az+n = 0.40, Ex = 0.35, i = 0.05, Calculate a (b) (2 points) You are given A, = 0.3443, P. =0.86, i = 0.04, find ar+1. (c) (3 points) Consider two random variables Y = ra and Z = v1. Show that their covarian negative, and briefly explain it in words. 4. You are given the following extract from a select life table. 2 4+1 4+2 X+2 40 33 519 33 485 33 440 42 41 33 467 33 428 33 378 43 42 33 407 33 365 33 309 44 43 33 340 33 294 33 231 45 44 33 265 33 213 33 143 46