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Math Help - cumulative distribution function

  1. #1
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    cumulative distribution function

    i have two random variables x e y independent and they're uniform on the interval [0, 1] find cumulative distribution function of Z= (x+y)/(x-y)

    i just try to solve...



    is it right?
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  2. #2
    MHF Contributor matheagle's Avatar
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    Z seems to range from -infinity to infinity, this doesn't look good.
    AS z approaches infinity this goes to -1/2.
    I was playing around with a change of variables with W=X-Y
    The joint density of Z and W would be w/2, but the region is 0<w(z+1)<2 and 0<w(z-1)<2
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  3. #3
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    why the range is [-oo; +oo]? the variables are uniform in [0,1]... i just try the change of variables



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  4. #4
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    what's the range of this function??
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