1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Conditional expectations of bivariate normal distributions

  1. May 3, 2010 #1
    Hey guys, I'm having a bit of a problem with this question...

    1. The problem statement, all variables and given/known data
    If X and Y have a bivariate normal distribution with [tex]m_X=m_y=0[/tex] and [tex]\sigma_X=\sigma_Y=1[/tex], find:

    a) E(X|Y=1) and Var(X|Y=1)
    b) Pr(X+Y>0.5)

    2. Relevant equations

    3. The attempt at a solution
    Apologies, but I don't seem to know where to start on this one.
  2. jcsd
  3. May 3, 2010 #2


    User Avatar
    Homework Helper

    how about the joint denisty function?
  4. May 3, 2010 #3


    User Avatar
    Homework Helper

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook