Let f (x, y) = c(x2 y2)ex , 0 x < , x y < x a. Find c. b.

Chapter , Problem 12

(choose chapter or problem)

Let

\(f(x,y)=c(x^2-y^2)e^{-x}\), \(\quad 0 \leq x< \infty\), \(\quad -x \leq y < x\)

a. Find c.

b. Find the marginal densities.

c. Find the conditional densities.

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