Branching process Galton-watson basic question

Nov 2012
1
0
Singapore
Let {Xn : n ≥ 0} be a Galton-Watson branching process starting with one particle (i.e., X0 = 1) and offspring distribution
p0 = 1,/6 p1 = 1/3, p2 = 1/3, p3 = 1/6.
Find E(Xn), Var(Xn) and P (Population ever dies out).

Thank you :) I'm lost :(
 

chiro

MHF Helper
Sep 2012
6,608
1,263
Australia
Hey sheepyyyyyyyy.

Can you outline what the process is (for those who are not familiar with it like me)?