For the joint CDF that is the product of two marginal CDFs, Fx,y (x, y) = Fx

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For the joint CDF that is the product of two marginal CDFs, Fx,y (x, y) = Fx (x) Fy, as described in Exercise 5.4, show that the events {a< X < b}and {c < Y < d} are always independent for any constants a < b and c < d.
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