1. The problem statement, all variables and given/known data Suppose that for a random variable X, E(X^n)=2^n, for n=1,2,3,...through infinity. Calculate the moment generating function (Mx(t)) and the probability mass function (p(i)). 2. Relevant equations 3. The attempt at a solution It seems as though, letting t=0, M'x(0)=E(X)=2; taking the integral of M'x(0)=2 from 0 to infinity, Mx(t) probably equals 2x (although I am not sure). Regarding the probability mass function, p(i), I have no idea how to calculate it. Any ideas would be much appreciated.