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

Jun 2010
9
1
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))?

 
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Chicago
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?
 

mr fantastic

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Dec 2007
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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.