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Find the p.d.f of y from p.d.f of x

  1. Sep 11, 2014 #1
    1. The problem statement, all variables and given/known data

    fx(X) ={ 1/4 0 < x < 1,
    { 3/8 3 < x < 5,
    { 0 otherwise

    Let Y = 1/X. Find the probability density function fy (y) for Y .

    2. Relevant equations



    3. The attempt at a solution

    Fy(x)=P(Y<x)=P(1/X<x)=P(X>1/x)..

    i can't go over more than this
     
  2. jcsd
  3. Sep 11, 2014 #2

    haruspex

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    What's the relationship between P(X<x) and P(X>x) for a continuous distribution.
     
  4. Sep 11, 2014 #3

    Ray Vickson

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    You have the probability density of X. What is stopping you from computing G(t) =P(X > t)?
     
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