Galton-Watson

Galton Watson

describe populations under p<1;p=0;p>1;u=? etc

identify some pgf and therefore give the parameters and mean, variance of pgf find pgf^2 find mean and variance of pgf^2 find P(extinction) BY nth generation find P(extinction) AT nth generation

find P(extinction) non iterative find P(extinction) given X(0)=n, noting that each individual would spawn independent trees

show pgfn(s) = pgf(pgfn-1(s))

describe a galton watson process over time, giving probabilities