1. Suppose X and Y are jointly absolutely continuous random variables with joint density fxy(x, y) = xe~X(y+1), x,y>0. (
Posted: Mon Jul 11, 2022 11:29 am
1. Suppose X and Y are jointly absolutely continuous random variables with joint density fxy(x, y) = xe~X(y+1), x,y>0. (a) (10 pts) Find the marginal density of X. Is it familiar? (b) (5 pts) Find the marginal density of Y. (c) (5 pts) Find the conditional density of X given Y = y. (d) (5 pts) Find the conditional density of Y given X = x. Is it familiar?