In the proof of Theorem 6 6 we twice differentiated the moment generating function of the normal distribution with respect to t to show that E(X) and var(X) 2 Differentiating twice more and using the formula of Exercise 4 25 on page 129, find expressions for 3 and 4 ...

In the proof of Theorem 6.6 we twice differentiated the moment generating function of the normal distribution

Question:

In the proof of Theorem 6.6 we twice differentiated the moment– generating function of the normal with respect to t to show that E(X) = µ and var(X) = σ2. Differentiating twice more and using the formula of Exercise 4.25 on page 129, find expressions for µ3 and µ4.
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...