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

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    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))?

    Last edited by mr fantastic; June 26th 2010 at 05:04 PM. Reason: Re-titled.
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    Quote Originally Posted by Pushpa View Post
    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?
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  3. #3
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    Quote Originally Posted by Pushpa View Post
    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.
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