The joint probability density function of random variables X and Y is given by f(x,y) ={10xy^2 0≤x≤y≤1,0 otherwise.
(a) Compute the conditional probability fX|Y(x|y).
(b) Compute E(Y) and P(Y >1/2).
(c) Let W=X/Y. Compute the density function of W.
(d) Are X and Y independent? Justify briefly.