泊松分布的一道题目Let X be a poisson random variable with mean equal to 10_英语解答

泊松分布的一道题目
Let X be a poisson random variable with mean equal to 10.find E[X^2]
该如何求?

人气：354 ℃　时间：2020-06-04 00:54:40

解答

For Poisson variable X,we know that E{X}=λ and Var{X}=λ too.
Therefore,E{X^2} = Var{X}+(E{X})^2 = 10+10^2 = 110.