Would really appreciate help on the following problem. I'm given the pdf of a discrete random variable R given by
P(R=j) = (j+1)*(1-p)^(2)*p^(j) j=0,1,2,.... and 0<p<1.
I have to show that the probability generating function of R is:
G(s)= [(1-p)/(1-ps)]^2
Apologies for the way I've written it, just tried to use LaTeX but I couldn't get it right.
Thank you in advance.