3. Let X and Y be continuous random variables with joint probability density function f_{XY}(x,y) = { x + y if 0 ? x, y ? 1 0 otherwise } Find (a) the covariance between X and Y. (b) the correlation between X and Y.
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Step 1
For X, we integrate the joint probability density function with respect to y: f_X(x) = ∫(x + y) dy from 0 to 1 = [xy + (1/2)y^2] evaluated from 0 to 1 = x + (1/2) Similarly, for Y, we integrate the joint probability density function with respect Show more…
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