Let X~N(μ,σ^2).

Determine

(a) Compute E[(X-μ)^4)]

(b) Compute E[|X-μ|]

(c) Define Y = (X-μ)^2. Determine the distribution of Y, and find the expected value of 1/Y.

At the first time, I thought that E[(X-μ)^4)] is same with Var(X^2). Is it true?

And how can I solve the other problems?