Question 4

Illustrate that the life table function of a population in which the lifetime X of an individual has a gamma distribution with parameters (2. u) with probability density function is given by

(b) Hence formulate the age-specific death raw of the population

(c) Suppose that a stationary population with the same life table function as in part (a), with a= 0.04,

(i) Compute the expectation of life

(ii) Formulate the probability density function of the age distribution

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