Conditional expectations of bivariate normal distributions

Ryuuzakie
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Hey guys, I'm having a bit of a problem with this question...


Homework Statement


If X and Y have a bivariate normal distribution with m_X=m_y=0 and \sigma_X=\sigma_Y=1, find:

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


Homework Equations


N/A


The Attempt at a Solution


Apologies, but I don't seem to know where to start on this one.
 
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how about the joint denisty function?
 

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