Let Y and Y2 have joint probability density function: y f(x1,y2) = {6(1 1 y2) 0 y 1, 0 y 1, Y + y2 1 otherwise 0 a. Find P (Y/ + 1/2 < < -) b. Find the marginal density functions for Y and Y2, state where they are nonzero, and explain your results in terms of cross-sectional areas along lines parallel to y2 and y, respectively. c. Find conditional densities (1|Y2) and (Y2|Y) and state where they are defined.