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Conditional expectations of bivariate normal distributions

  • Thread starter Ryuuzakie
  • Start date
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
N/A


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

lanedance

Homework Helper
3,304
2
how about the joint denisty function?
 

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