The joint density for the random variables (X, Y), nit where X is the unit temperature change and Y is the proportion of spectrum shift that a certain atomic particle produces, is  x2 function f(x)=
 3  0
10xy2 f (x, y) =  0
0  x  y 1 elsewhere ,
(a) Find the marginal densities g(x), h(y), (b) Find the conditional density f(y|x), f(x|y).