(a). Let be the age-at-death random variable of new born with () = 1 (1 100) 1 4 for 0 < 100

(i). Give an expression for the survival function of .

(ii). Find the survival function for future lifetime of (30).

(iii). Find the force mortality function for future lifetime of (30).

(iv). Compute the probability that life (30) will survive to reach age 45.

(v). Compute, the expected future lifetime of (30).