Let X∼Binomial(n,p)X \sim \text{Binomial}(n, p)X∼Binomial(n,p). What is the MGF of Y=n−XY = n - XY=n−X?
(p + (1-p)e^t)^n
((1-p) + pe^t)^n
e^{nt}(q + pe^{-t})^n
(q + pe^t)^n