Let X∼Binomial(n,p)X \sim \text{Binomial}(n, p)X∼Binomial(n,p). What is the MGF of XXX?
(pet+1−p)n(p e^t + 1 - p)^n(pet+1−p)n
(p+(1−p)et)n(p + (1-p)e^t)^n(p+(1−p)et)n
pentp e^{nt}pent
(et+p)n(e^t + p)^n(et+p)n