(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
Posted: Mon Nov 15, 2021 10:46 am
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. =
(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