Consider again the joint CDF given exercise 5.3. (a) For constants a and b, such that 0

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Consider again the joint CDF given exercise 5.3.
(a) For constants a and b, such that 0 < a < 1, 0 < b < 1 and a < b, find Pr (a < X < b).
(b) For constants and, such that, 0 < c < 1, 0 < d < 1 and c < d, find Pr (c < y < d).
(c) Find Pr (a < X< b/c < Y < d). Are the events {a < X < b}and { c < Y < d}statistically independent?
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