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Math Help - Distribution of the sum of two ind. uniform random variables.

  1. #1
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    Distribution of the sum of two ind. uniform random variables.

    Hello everyone. I have worked out a problem and now I am stuck. Basically I have Z = (X+Y)/2 where X,Y are iid and ~U(c-.5,c+.5) where c is some constant. I need to find the distribution of Z. How do I go about this. I tried a change of variable but am having trouble figuring out the support of Z.
    Any help is greatly appreciated. Thanks
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  2. #2
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    Quote Originally Posted by kman320 View Post
    Hello everyone. I have worked out a problem and now I am stuck. Basically I have Z = (X+Y)/2 where X,Y are iid and ~U(c-.5,c+.5) where c is some constant. I need to find the distribution of Z. How do I go about this. I tried a change of variable but am having trouble figuring out the support of Z.
    Any help is greatly appreciated. Thanks
    Read this for one possible approach (pp 7 --> ).
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  3. #3
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    Im sorry mr fantastic, I dont understand. Are you refering me to page 7 of the forum? Can you post the link to the said site you want me to go to?
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    Quote Originally Posted by kman320 View Post
    Im sorry mr fantastic, I dont understand. Are you refering me to page 7 of the forum? Can you post the link to the said site you want me to go to?
    Try this one http://www.dartmouth.edu/~chance/tea...k/Chapter7.pdf
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  5. #5
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    Thanks for the help guys. I'll let you know what I come up with. (I know the answer, but just want to derive it by myself).
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