In the stochastic population model of Section 5.6 2:

(a) Show that == P(n)q(n, D,n) = P(D,n)q(D,n,n)

when P(n) is as given by (564) with

a, = (/jv)(v/)'.

(b) Let D(t) denote the number of families that die out in (0, 1). Assum- ing that the process is in steady state 0 at time = 0, what type of stochastic process is {D(t), t 0}? What if the population is initially empty at = 0