Consider adult mortality for two populations that follow a Gompertz-Makeham function h(t) = 1 2exp(t), where t is a person’s age and h(t) is the risk of death at age t. Population one can be described as 1 = 0.001, 2 = 0.04 and = 0.025. Population two has 1 = 0.05, 2 = 0.03 and = 0.02. (a) Which population has the highest accidental mortality? (b) Which population has the highest baseline adult mortality? (c) In which population does adult mortality increase the fastest with age? (d) Plot both curves from birth to age 80 (Excel is useful for this, although you can do this on graph paper as well). (e) Which population has the highest mortality rate at age 20? (f) Which population has the highest mortality rate at age 70? (g) At what age is mortality rate about equal?

The survival function for the Gompertz-Makeham model (a) Plot the survival functions for the two populations given in question 1. (b) Which population has the highest probability of survival at age 30? (c) Use the survival curve to estimate the median age at death for both populations