- #1
BookMark440
- 10
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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}.
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!
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!