1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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.

  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted