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Let X ami Y be two jointly continuous random variables. with joint density function f(x.y)(x, y) = cl10 3j(r) ‘1021(Y)

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3. (20 points) Let X ami Y be two jointly continuous random variables. with joint density function f(x.y)(x, y) = cl10 3j(r) ‘1021(Y) for some constant e > 0.
(j) (6 points) Determine the value of e (so that f(XY) LS indeed a density function).
(ii) (6 points) Compute tue cumulative distribution function F of X.
(iii) (8 points) Compute P(X  Y).

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