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The pair (X, Y ) has joint cdf given by: F X,Y (x, y) = (1 (1/x^2))*(1 (1/y^2)) for x > 1, y > 1

The pair (X, Y ) has joint cdf given by:

FX,Y (x, y) = (1 (1/x^2))*(1 (1/y^2)) for x > 1, y > 1

0 elsewhere.

(a) Find the marginal cdf of X and of Y .

(b) Find the probability of the following events: {X < 3, Y 5}, {X > 4, Y > 3}.

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