Solve all or don't attempt please The probability density function of R.V X is defined by:fxy (x, y) =(x² + 0. 5xy),0 < x < 1,0 < y< 2otherwisef) Obtain the probability of P(X< 1,Y < 2).g) Obtain fy(y) and f x¡y(x|y).h) Obtain E{X|Y = 1. 5} and E{X²|Y = 1.5} , VAR{X|Y = 1.5}.

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A First Course in Probability (10th Edition)

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The probability density function of R.V X is defined by: (6 (x² + 0. 5xy), 0 < x< 1, 0 < y< 2 fxv (x, y) = otherwise f) Obtain the probability of P(X < 1,Y < 2). g) Obtain fy(y) and f x¡y(x|y). h) Obtain E{X|Y = 1. 5} and E{X²|Y = 1. 5} , VAR{X|Y = 1.5}.