A point (X, Y) is picked at random, uniformly from the square with corners at (0,0), (1,0), (0,1) and (1,1). Compute Cov{X, Y}.(adsbygoogle = window.adsbygoogle || []).push({});

I think of this as darts thrown at a unit square dart board.

Cov(X,Y) = E(XY) - E(X)E(Y).

I compute that E(X)=E(Y)= 0.5 using the integral xf(x).

But I cannot figure out how to approach computing E(XY). Or is there a better strategy for solving this?

THANKS!

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# The Cov(X,Y) on a square dart board

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