Branching Process Properties. Consider the branching process Xn defined by (1.33), with the generalization that X0 is a random variable that is independent of the ξni. Show that E[Xn] = μnE[X0]. For...

Branching Process Properties. Consider the branching process Xn defined by (1.33), with the generalization that X0 is a random variable that is independent of the ξni. Show that E[Xn] = μnE[X0]. For the case μ > 1, show that the extinction probability i