Let X and Y be continuous random variables having the joint pdf 8xy, 0≤ y ≤x≤1 otherwise. 0, f(x, y) = = (a) Sketch the graph of the support of X and Y. (b) Find f₁(x), the marginal pdf of X. (c) Find ƒ₂(y), the marginal pdf of Y. (d) Compute µx, µy, o, o, Cov(X, Y), and p. (e) Find g(xly = 3), the conditional pdf of X given Y = 3. (f) Find P(X < ³|Y = }). (g) Are X and Y independent? Why or why not?

Q: V-539 7. V11

A: To Determine:  Simplify

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A:

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