(18 pts) The joint pdf of X and Y is given by: fx=(x, y) = {C_* + y)ev, : - y sxs y,0 sy so , otherwise For this questio

[answerhappygod]

18 Pts The Joint Pdf Of X And Y Is Given By Fx X Y C Y Ev Y Sxs Y 0 Sy So Otherwise For This Questio 1 (52.58 KiB) Viewed 95 times

(18 pts) The joint pdf of X and Y is given by: fx=(x, y) = {C_* + y)ev, : - y sxs y,0 sy so , otherwise For this question, it may be useful to draw the region in the X, Y plane where the pdf is non- zero to help you determine the limits of the integrals. (a) Find the value of the constant c. (b) Find the marginal pdfs of X and Y, respectively. (C) Find the probability that X > 2 and Y > 2, P[X > 2nY > 2]. (d) Find the conditional pdf of X given Y, fxx (x|y). Plot fxjy(x|y) for y = 2. (e) Find the conditional expectation of X given Y = y, E[X]y]. Plot E[X]y] for y from 0 to 6. =