Let R be the region in the first quadrant bounded by the curves y=x and y=x^{5}. A random point (X,Y) is selected from R. a) Calculate the marginal probability density functions of X and Y. (In each case, just give the value of the function on the interval (0,1).) f_X(x)= f_Y(y)= b) Find the expected value of X and Y: E(X)= E(Y)=