The moment generating function of a random variable $X$ is given by:
$$M(t) = (1/3^{2k})(7+2e^t)^k, \quad \forall t$$
a) Determine $P(X = 3)$
b) Derive the $r^{th}$ factorial moment of $X$
I assume you must deduce what distribution this is from the mgf, I just have no idea which one it is.
