How to calculate third moment for Standard Gaussian Distribution?

Jul 2015
564
14
United States
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
Nov 2013
6,647
2,994
California
odd function times even function is?

odd function integrated over symmetric interval is?
 
Jul 2015
564
14
United States
What about the fourth moment? Is the best approach to do tabular method?
 
Jul 2015
564
14
United States
Assuming I have midterm that is 50 minutes long...so 10 minutes to do problem each.