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Consider the probability triple (0, 12, 1 0, 1], Leb2 ), where Leb, is the two dimensional Lebesque measure on 0, 1 2. You may

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Consider the probability triple (0, 12, 1 0, 1], Leb2 ), where Leb, is the two dimensional Lebesque measure on 0, 1 2. You may use the fact that for A C [0, 1)2, Leb2 ( A) is given by the area of the set A. Let X : [0, 1 2 -> R and Y 0, 1]2 -> R be random variables defined by X ( W1, W2) = Wit W2, Y ( W1 , W 2 ) = W2 - W1. Let Fx.y be the joint cumulative distribution function of X and Y with respect to the two dimensional Lebesque measure. Find Fx,y (0.9,0.09). Give your answer in four decimal places

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