A Galton Watson branching process B is defined P0 = 1/3 ; P1 = (1 - c)2/3 and P2 =c 2/3 where pi is the probability to have 'i' offsprings (C in [0,1]).
a) compute the critical value C* such that for C<= C* the prcesss B will die out with probability one and for C > C* the process will...