Question: Problem 5.61 Let the random vector (X, Y ) have the joint density function f(x, y) = xexyx, for x > 0,y> 0 f(x, y)=0,

Problem 5.61 Let the random vector (X, Y ) have the joint density function f(x, y) = xe−xy−x, for x > 0,y> 0 f(x, y)=0, elsewhere. Compute:

(a) fX(x), µX, σX .

(b) fY (y), µY , σY .

(c) Are X and Y independent?

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