Question

Let X be a Gaussian random variable with mean μ and variance σ^2. Compute the following...

Let X be a Gaussian random variable with mean μ and variance σ^2. Compute the following moments:

Remember that we use the terms Gaussian random variable and normal random variable interchangeably.

(Enter your answers in terms of μ and σ.)

E[X^2]=

E[X^3]=

E[X^4]=

Var(X^2)=

Please give the detail process of proof.

Math   Statistics-And-Probability   
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