10. The joint probability density function of X and Y is given by $$f(x, y) = e^{-(x+y)},...
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10. The joint probability density function of X and Y is given by
$$f(x, y) = e^{-(x+y)}, \qquad 0 \le x < \infty, \ 0 \le y < \infty$$
Find
(a) P(X ≤ Y) and
(b) P(X < a).
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