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Uniform/Exponential PDF

  1. Nov 9, 2009 #1
    1. The problem statement, all variables and given/known data
    Let X be uniformly distributed over [0, 1] and Y be exponentially distributed with λ=1. Assuming X and Y are independent, give the PDF of Z=X/Y.


    2. Relevant equations



    3. The attempt at a solution
    I know the individual PDFs of X and Y. I was trying to use a geometric approach to find the CDF and then integrate but since Y is exponential the geometry doesn't really work. Are there any other methods I can use to get this? I haven't seen any examples resembling this.

    Thanks.
     
  2. jcsd
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