Suppose that f (x, y) = xex(y+1), 0 x < , 0 y < a. Find

Chapter , Problem 14

(choose chapter or problem)

Suppose that

\(f(x, y)=x e^{-x(y+1)}, \quad 0 \leq x<\infty, \quad 0 \leq y<\infty\)

a. Find the marginal densities of X and Y. Are X and Y independent?

b. Find the conditional densities of X and Y.

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