Question: 18. Let X and Y be jointly distributed with joint probability density function Determine if X and Y are positively correlated, negatively correlated, or uncorrelated.

18. Let X and Y be jointly distributed with joint probability density function

f(x,y) = 12 -ry-r if x > 0, y >0 otherwise.

Determine if X and Y are positively correlated, negatively correlated, or uncorrelated.
Hint: Note that for all a > 0, R ∞
0 xne−ax dx = n!/an+1.

f(x,y) = 12 -ry-r if x > 0, y >0 otherwise.

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