題組內容

5. (5% each, totally 10%) The joint cdf for the vector of random variable X = (X,Y) is given by $$F_{X,Y}(x,y) = \begin{cases} (1 - e^{-\alpha x})(1 - e^{-\beta y}) & x \ge 0, y \ge 0 \\ 0 & \text{elsewhere.} \end{cases}$$

(a) Find the marginal cdf's.