Let X∼Poisson(λ)X \sim \text{Poisson}(\lambda)X∼Poisson(λ). What is the expected value of X3X^3X3?
λ3+3λ2+λ\lambda^3 + 3\lambda^2 + \lambdaλ3+3λ2+λ
λ3+2λ2+λ\lambda^3 + 2\lambda^2 + \lambdaλ3+2λ2+λ
λ3+3λ2\lambda^3 + 3\lambda^2λ3+3λ2
λ3+λ\lambda^3 + \lambdaλ3+λ