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Geometric PMF

  1. Sep 29, 2015 #1
    1. The problem statement, all variables and given/known data
    Let X∼Geometric(1/3), and let Y=|X−5|. Find the range and PMF of Y.

    2. Relevant equations
    Px(k) = p(1-p)^(k-1) for x=1,2,3...

    3. My attempt at a solution
    I set up the PMF for Px

    Px(k) = 1/3(2/3)^(k-1) for k = 1,2,3,...
    However I don't know how to convert this to Y
     
  2. jcsd
  3. Sep 29, 2015 #2

    Ray Vickson

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    Science Advisor
    Homework Helper

    Really? For what values of ##X## do you get ##Y = 0##? Which value (or values) of ##X## give you ##Y = 1##? Etc., etc.
     
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