題組內容
3. (35 points) Let X and Y have the joint p.d.f.
$$f(x, y) = \frac{1}{64} xy^2 \exp\left(\frac{-(x + y)}{2}\right), \quad 0 < x, y < \infty.$$
(a) Are X and Y independent? Explain your answer.
3. (35 points) Let X and Y have the joint p.d.f.
$$f(x, y) = \frac{1}{64} xy^2 \exp\left(\frac{-(x + y)}{2}\right), \quad 0 < x, y < \infty.$$
(a) Are X and Y independent? Explain your answer.