Question

If the joint density function of (X,Y) is f(x,y) = { 21/2 * x^2 * y,...

If the joint density function of (X,Y) is

f(x,y) =

{ 21/2 * x^2 * y, if x^2 ≤ y ≤ 1

0, otherwise}

What is the correlation coefficient between X and Y? Hint: calculate the marginal density of X and Y and then EXY, EX, and EY.

Math   Statistics-And-Probability   
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