5.2 For the joint pmf in the table below: (a) Find the conditional expectation function E(Y | X). (b) Find the best linear predictor E*(Y | X). (c) Prepare a table that gives E(Y | x) and E*(Y | x) for x = 1, 2, 3. x = 1 x = 2 x = 3 y = 0 0.15 0.10 0.15 y= 1 0.15 0.30 0.15 . Generate 1000 random draws from (Y,X). . Plot the observed values of Y against X. . Overlay a plot of the (population) CEF of Y given X/ . Overlay a plot of the (population) BLP of Y given X