Hi everyone, I had a proof up earlier for the expectation of a Continuous Uniform Distribution that people helped me with. I was wondering if anybody could work me through this one as well?

If X ~ U(a,b), then:

Var(X) = http://l.wordpress.com/latex.php?lat...&fg=000000&s=0.

Now http://l.wordpress.com/latex.php?lat...&fg=000000&s=0 is given by:

http://l.wordpress.com/latex.php?lat...&fg=000000&s=0 or http://l.wordpress.com/latex.php?lat...&fg=000000&s=0

Subtracting http://l.wordpress.com/latex.php?lat...&fg=000000&s=0 yields

http://l.wordpress.com/latex.php?lat...&fg=000000&s=0

Any help would be very much appreciated