Results 1 to 2 of 2

Math Help - simple proof of expected value...

  1. #1
    Senior Member
    Joined
    Sep 2009
    Posts
    299

    Lightbulb simple proof of expected value...

    CV are random variables.
    Whats a hint to show if C<=V, then E(C)<=E(V)?

    my bad attempt
    if C<=V then
    P(C=s)<=p(V=s) for all s
    so summation of C*P(C=c) has to be smaller then summation of V*(V=v)
    so then E(C)<=E(V)


    thanks for helping
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Jul 2010
    Posts
    7
    Quote Originally Posted by Sneaky View Post
    CV are random variables.
    Whats a hint to show if C<=V, then E(C)<=E(V)?

    my bad attempt
    if C<=V then
    P(C=s)<=p(V=s) for all s
    so summation of C*P(C=c) has to be smaller then summation of V*(V=v)
    so then E(C)<=E(V)


    thanks for helping
    Are they continuous rv's or discrete? (It looks from your working that you are assuming discrete?)
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Proof of Expected Value
    Posted in the Statistics Forum
    Replies: 1
    Last Post: November 17th 2011, 07:27 AM
  2. Expected Value and Utility - Simple yet very confusing
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: February 20th 2011, 04:33 PM
  3. Expected value proof
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: January 31st 2011, 08:50 PM
  4. need help asap -- expected value proof
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: May 6th 2009, 04:51 PM
  5. [SOLVED] Expected value of f(x,y) - Simple question
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: April 14th 2009, 11:39 PM

Search Tags


/mathhelpforum @mathhelpforum