Thread: E(|X-Y|) where X and Y are discrete uniform variates.

Let

X and Y be independent random variables, both being equally likely to

be any of the numbers 1,2,...........,m: Find E(abs(X-Y))?

Originally Posted by Pushpa

Let

X and Y be independent random variables, both being equally likely to

be any of the numbers 1,2,...........,m: Find E(abs(X-Y))?

What have you tried so far?

Originally Posted by Pushpa

Let

X and Y be independent random variables, both being equally likely to

be any of the numbers 1,2,...........,m: Find E(abs(X-Y))?

I suggest you first try this question for concrete value of m. Try it for m = 2 and m = 3.