Results 1 to 3 of 3

Math Help - Functions of Random Variables

  1. #1
    Junior Member
    Joined
    Dec 2008
    Posts
    37

    Exclamation Functions of Random Variables

    Suppose that the pdf of a random variable X is as follows:
    f(x)= 1/2 x for 0<x<2
    0 otherwise

    Also, suppose that Y=X(2-X). Determine the df and the pdf of Y.

    I am new to this and very clueless and the book is not helping at all, if anyone could help explain how to start this problem to me. Thank you
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by andyaddition View Post
    Suppose that the pdf of a random variable X is as follows:
    f(x)= 1/2 x for 0<x<2
    0 otherwise

    Also, suppose that Y=X(2-X). Determine the df and the pdf of Y.

    I am new to this and very clueless and the book is not helping at all, if anyone could help explain how to start this problem to me. Thank you
    Start by calculating the cdf: F(y) = \Pr(Y < y) =Pr(2X - X^2 < y) and note that the support of Y is 0 \leq y \leq 1. Drawing a diagram will help.

    The pdf is dF/dy.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Dec 2008
    Posts
    37
    I am confused on finding F(y). I integrate f(x)dx but over what? 0 to 1?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: November 13th 2011, 10:53 AM
  2. Replies: 1
    Last Post: June 5th 2011, 04:57 PM
  3. Functions of Random Variables
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: May 1st 2010, 05:09 AM
  4. Random variables - density functions
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: January 14th 2009, 07:53 PM
  5. Replies: 10
    Last Post: November 6th 2008, 03:17 AM

Search Tags


/mathhelpforum @mathhelpforum