okay I am having some issues (i think) withthe expected value and variance of my PDF.

Let me see if I have it right.

My pdf is 2/(x^3) from 1 to 2000.

I get my mean to be 2 and my Attachment 21120

variance to be 2 log(2000)-4. Is that correct? If you look at the graph it doesnt seem to be right (the mean is the right solid red bar.) maybe it is because it just extends so far?