2. The continuous random variables X and Y have known joint probability density function f(x,y) given by [(4x+2y)/3 0≤x≤ 1,0 sysl fxy(x, y) = 0 otherwise Define the event B as B = {X + Y ≤ ¹}. a) Determine the conditional joint probability density function f(x,y/B) of the random variables x and y. b) Determine the marginal probability density functions fx(x/B) and fy(y/B) of the random variables X and Y. c) Determine the conditional correlation E{XY/B)} of the random variables X and Y.

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