Exercice given at the end of Leurefor Leure.
Letµ= (µ(i);i ≥) be a probability diribution onZ+. Denote by (Zn)n≥ the Galton–Watson process with offspring diribution withZ=(arted with one individual).
(i) CalculateE[Zn].
(ii) CalculateE[Zn].