If X∼Binomial(n,p)X \sim Binomial(n, p)X∼Binomial(n,p), what is the moment generating function MX(t)M_X(t)MX(t)?
(p + (1-p)e^t)^n
((1-p) + pe^t)^n
e^{np(e^t - 1)}
(pe^t)^n