# How to calculate third moment for Standard Gaussian Distribution?

#### math951

Third Moment: $$\displaystyle E[z^3] = \dfrac{1}{\sqrt{2\pi}}\int_{- \infty}^{\infty} z^3 \bullet e^\dfrac{-z^2}{2} ~ dz$$

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#### romsek

MHF Helper
odd function times even function is?

odd function integrated over symmetric interval is?

#### math951

What about the fourth moment? Is the best approach to do tabular method?

#### math951

Assuming I have midterm that is 50 minutes long...so 10 minutes to do problem each.

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