Los Pollos Hermanos is a regional fast food chain that also has a business producing and distributing specialty chemicals. Let X be the profits earned on the fast food side and Y be the profits from the chemicals business. We can model the profits from both business lines by the joint pdf f ( x, y ) = (1/768) (5 - x) y x E (2, 8), y E (0, 16) 0 otherwise a. Find f(y) and f(x). (6pt) b. Are X and Y independent? (3pt) c. Find E(Y). (3pt)