Let X∼Binomial(n,p)X \sim \text{Binomial}(n, p)X∼Binomial(n,p). Find the expected value of X3−3X2+2XX^3 - 3X^2 + 2XX3−3X2+2X.
n(n−1)(n−2)p3n(n-1)(n-2)p^3n(n−1)(n−2)p3
n(n−1)p2n(n-1)p^2n(n−1)p2
npnpnp
n^3 p^3