can anyone tell me how to prove the mean and variance for the beta distribution function?
You need to calculate two things: $\displaystyle E(X)$ and $\displaystyle E(X^2)$.
Study this thread: http://www.mathhelpforum.com/math-he...oof-58973.html
It has what you need to know.
Have you red the thread whose link I gave you? The details of the integration are all in there. Read it. What don't you undertsand?
"the gamma function thing the r symbol": Gamma function - Wikipedia, the free encyclopedia