Let X∼Binomial(n,p)X \sim \text{Binomial}(n, p)X∼Binomial(n,p) and Y∼Poisson(np)Y \sim \text{Poisson}(np)Y∼Poisson(np). Find the exact difference between their second raw moments, E[X2]−E[Y2]E[X^2] - E[Y^2]E[X2]−E[Y2].
−np2-np^2−np2
np2np^2np2
−np(1−p)-np(1-p)−np(1−p)
0