Let Xand Y be a continuous random variables with joint pdf:fX;Y(x;y) =(x+y;if 0

Find fX(x)b) [3 Marks]

Find fYjX=x(yjx), specifying for what values of x and y the conditional p.d.f is valid.

c) [3 Marks] Are X and Y independent?Justify your answer.d) [2 Marks] FindE[X] andE[Y]e) [3 Marks] FindV ar(X) andV ar(Y)f) [6 Marks]

FindCorr(X;Y) =(X;Y)g) [5 Marks] FindE[YjX=12

Let X and Y be a continuous random variables with joint pdf: m+y, if0