have to find the mean, variance and skewness and kurtosis for various distributions.
Take the bernoulli distribution where the mean (u) is p and the variance is p(1-p)
I'm having trouble with the skewness. I know the formula for it...
E[(x - u)^3] / sd^3
and that I cube out the top to get E[x^3 - 3x^2u etc...
My problem where to go from here. I'll end up with a E[x^3], do I have to go back and calculate that then, and the same for every other E[...] I'll end up with?
Also, is the bottom line just the variance to the power of 3/2?
Some similar help on the kurtosis would be useful is possible.
Thanks