Results 1 to 2 of 2

Math Help - function of a random variable

  1. #1
    Junior Member
    Joined
    Jun 2010
    Posts
    58

    function of a random variable

    supose that the random variable X is uniformly distributed between x=-4 and x=2 Y=9-X^2
    whats the Y probability distribution?

    My main problem here are the bounds how do I set the bounds? I think I have two values for the distribution between y=5 and y=9, since I have to split it in two problems, one in which dy/dx is positive and other where it is negative, and whad do I do with the point where dy/dx =0?!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor matheagle's Avatar
    Joined
    Feb 2009
    Posts
    2,763
    Thanks
    5
    You need to figure out where this is a 2 to 1 mapping and where it's a 1 to 1 mapping.
    You can use calc1 with the transformation from one density to the other,
    but you need to draw the parabola
    and figure out the various regions.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: October 15th 2012, 10:37 PM
  2. Pdf of a function of a random variable
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: May 7th 2011, 09:58 PM
  3. random variable function
    Posted in the Advanced Statistics Forum
    Replies: 5
    Last Post: February 1st 2010, 05:41 AM
  4. Replies: 9
    Last Post: January 28th 2010, 07:26 AM
  5. Function of Random Variable
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: May 2nd 2009, 05:29 AM

Search Tags


/mathhelpforum @mathhelpforum