Let X∼Binomial(n,p)X \sim \text{Binomial}(n, p)X∼Binomial(n,p). Find the expected value of X2X^2X2.
np(1−p)+n2p2np(1-p) + n^2 p^2np(1−p)+n2p2
np(1−p)np(1-p)np(1−p)
n2p2n^2 p^2n2p2
n p (1 - p + np)