(Answered)-Suppose that we have a branching process where the offspring - (2025 Updated Original AI-Free Solution

Question

1. Suppose that we have a branching process where the offspring distribution is different in the even and odd generations. Let X,Y be discrete random variables with non-negative integer values. Assume that we start the process with a single individual and we grow a family tree with the following rules:

1.In the first step the individual has kids according to the distribution of X.?