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Define the function of density of the random variable Y.

  1. Aug 26, 2013 #1
    We selected X point from interval (-1,2). If X=x, we selected point Y from (-1,x^2). Define the function of density of the random variable Y.
     
    Last edited: Aug 26, 2013
  2. jcsd
  3. Aug 26, 2013 #2

    Stephen Tashi

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    I think you mean that we selected X from a uniform distribution on the intervald (-1,2).

    I think you mean that Y is selected from a uniform distribution on (-1, x^2)


    I think you mean "Find the probability density function of the random variable Y".

    To start your work, pretend X is given and state the probability density function for Y on the interval (-1,x^2). Can you do that?
     
  4. Aug 26, 2013 #3
    What ST said makes sense. Another way is to try to compute the cumulative density function of X, and then of Y. This may be a bit more intuitive, since the CDF describes the probability of a specific event.
     
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