Results 1 to 2 of 2

Thread: Discrete Random Variables

  1. #1
    Junior Member
    Joined
    Jul 2006
    From
    Darmstadt, Germany
    Posts
    44

    Discrete Random Variables

    Let X,Y be discrete random variables on a probability space. Prove or Disprove that:

    X,Y iid --> P({X=Y})=0
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    5
    Quote Originally Posted by TXGirl View Post
    Let X,Y be discrete random variables on a probability space. Prove or Disprove that:

    X,Y iid --> P({X=Y})=0
    Let $\displaystyle x$ take the value $\displaystyle 0$ with probability $\displaystyle 1/2$ and $\displaystyle 1$ with prob. $\displaystyle 1/2$

    Let $\displaystyle y$ take the value $\displaystyle 0$ with probability $\displaystyle 1/2$ and $\displaystyle 1$ with prob. $\displaystyle 1/2$

    and $\displaystyle p(x=a,y=b)=p(x=a)p(y=b),\ a$ and $\displaystyle b$ in $\displaystyle \{0,1\}$

    Then the RV's $\displaystyle X$ and $\displaystyle Y$ are iid.

    What is the probability that $\displaystyle x=1$, and $\displaystyle y=1$?

    RonL
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Discrete random variables
    Posted in the Advanced Statistics Forum
    Replies: 4
    Last Post: Oct 11th 2010, 10:15 AM
  2. Discrete random variables (2)
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: Oct 11th 2010, 09:31 AM
  3. Replies: 3
    Last Post: Jan 13th 2010, 10:44 AM
  4. Discrete Random Variables
    Posted in the Statistics Forum
    Replies: 2
    Last Post: May 22nd 2009, 02:25 AM
  5. discrete random variables
    Posted in the Statistics Forum
    Replies: 2
    Last Post: Oct 9th 2008, 04:47 AM

Search Tags


/mathhelpforum @mathhelpforum