Results 1 to 2 of 2

Math Help - Joint Densities

  1. #1
    Newbie
    Joined
    Feb 2010
    Posts
    7

    Joint Densities

    A hand of six cards is dealt from a standard poker deck. Let X denote the number of aces, Y the number of kings, and Z the number of queens.
    (a) Write a formula for pX,Y,Z(x,y,z).
    (b) Find pX,Y(x,y)and pX,Z(x,z).
    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 donald17 View Post
    A hand of six cards is dealt from a standard poker deck. Let X denote the number of aces, Y the number of kings, and Z the number of queens.
    (a) Write a formula for pX,Y,Z(x,y,z).
    (b) Find pX,Y(x,y)and pX,Z(x,z).
    Won't (a) just be \frac{{4 \choose x} \cdot {4 \choose y} \cdot {4 \choose z} \cdot {40 \choose (6 - x - y - z)}}{{52 \choose 6}} where x + y + z \leq 6.

    Review multivariate hypergeometric distribution.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Convergence of densities in Lindeberg's CLT
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: May 18th 2011, 06:49 PM
  2. Figuring out limits of integration when doing joint densities
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: January 18th 2011, 10:31 PM
  3. Replies: 5
    Last Post: December 5th 2009, 11:30 PM
  4. Replies: 3
    Last Post: October 27th 2008, 11:18 AM
  5. joint densities
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: November 14th 2007, 03:20 AM

Search Tags


/mathhelpforum @mathhelpforum