Results 1 to 3 of 3

Math Help - Joint pdf

  1. #1
    Newbie
    Joined
    Jan 2014
    From
    Manila
    Posts
    3

    Joint pdf

    Will somebody please help me in this problem.

    A point is chosen at random from the interior of a circle whose equation is x^2 + y^2 ≤ 4. Let the random variables X and Y denote the x- and y-coordinates of the sampled point. Find fX,Y (x, y).

    Thank you.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    3,658
    Thanks
    606

    Re: Joint pdf

    Hey mglen.

    Hint: You need to define some attributes for the X and Y random variables. If everything is uniform and X and Y are independent random variables then the PDF is proportional to the area of the region.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Joined
    Nov 2013
    From
    California
    Posts
    2,481
    Thanks
    960

    Re: Joint pdf

    Quote Originally Posted by mglen View Post
    Will somebody please help me in this problem.

    A point is chosen at random from the interior of a circle whose equation is x^2 + y^2 ≤ 4. Let the random variables X and Y denote the x- and y-coordinates of the sampled point. Find fX,Y (x, y).

    Thank you.
    probability - Continuous uniform distribution over a circle with radius R - Mathematics Stack Exchange

    just substitute 2 for R in the above derivation
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Joint PDF
    Posted in the Advanced Statistics Forum
    Replies: 4
    Last Post: September 30th 2010, 03:07 AM
  2. Joint PDF
    Posted in the Advanced Statistics Forum
    Replies: 5
    Last Post: December 9th 2009, 11:52 PM
  3. Replies: 5
    Last Post: December 5th 2009, 11:30 PM
  4. Joint p.m.f
    Posted in the Advanced Statistics Forum
    Replies: 8
    Last Post: December 5th 2009, 02:21 PM
  5. joint pmf
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: March 18th 2009, 10:41 AM

Search Tags


/mathhelpforum @mathhelpforum