3. (30) The random variables X and Y have joint pdf fxy(x,y) = 12 xy (1-x), O

3. a) b) c) (30) The random variables X and Y have joint pdf = 12 xy(l-x), osxS1,osyS1 outside (10) Find the marginal pdfsfx(x) and 60'). Are X and Y independent? (10) Find E[X], E[Y], E[XY] and cov {X'Y} (10) Find S h, Y S 1/2)