Hi all,

I want to compute the variance of a variable that is defined at each step as a recursion of binomials in the following way:

A=1

B=Bin(1,A)*Bin(1,p)

C=Bin(1,B)*Bin(1,p)

D=Bin(1,C)*Bin(1,p), etc...

Generalized form:

X(T+1)=Bin(1,X(T))*Bin(1,p);

Question: variance(X(T))=?

maybe it is too easy, but I would really appreciate some help...

Thanks in advance