If X∼Poisson(λ)X \sim Poisson(\lambda)X∼Poisson(λ), what is the variance of Y=X2Y = X^2Y=X2?
λ+4λ2\lambda + 4\lambda^2λ+4λ2
λ+3λ2+λ3\lambda + 3\lambda^2 + \lambda^3λ+3λ2+λ3
λ+4λ2+2λ3\lambda + 4\lambda^2 + 2\lambda^3λ+4λ2+2λ3
λ2+λ\lambda^2 + \lambdaλ2+λ