Results 1 to 2 of 2

Math Help - Uniform distribution on a disk

  1. #1
    Member
    Joined
    Oct 2009
    Posts
    82

    Uniform distribution on a disk

    Hey, I have a question:

    This problem states that X and Y are uniformly distributed on the unit disk. It goes on to ask me questions like what is the joint density of the RVec X,Y, which is \mathbf{1}_D\cdot \frac{1}{\pi}... but then it asks questions specific to the individual variables.

    For example, I am asked what \mathbf{E}X is. Now, X is obviously not uniformly distributed; neither is y (if we take X,Y to be the x and y coordinates respectively).

    Then if R is the distance from the point to the centre, find \mathbf{E}R and Var(R).

    Any tips/hints? I'm stuck on this one.

    Thanks in advance!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor matheagle's Avatar
    Joined
    Feb 2009
    Posts
    2,763
    Thanks
    5
    Use Polar

    x=r \cos \theta
    y=r \sin \theta
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Uniform distribution p.d.f and c.d.f
    Posted in the Statistics Forum
    Replies: 0
    Last Post: November 30th 2011, 07:15 AM
  2. [SOLVED] Mixing a uniform distribution with a normal distribution
    Posted in the Advanced Statistics Forum
    Replies: 4
    Last Post: July 8th 2011, 08:27 AM
  3. Why is this distribution non-uniform?
    Posted in the Advanced Math Topics Forum
    Replies: 3
    Last Post: March 3rd 2011, 06:19 PM
  4. Uniform distribution
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: February 23rd 2010, 10:36 PM
  5. Uniform Distribution!!!
    Posted in the Advanced Statistics Forum
    Replies: 6
    Last Post: November 28th 2007, 05:30 AM

Search Tags


/mathhelpforum @mathhelpforum