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# Suppose a point is chosen uniformly at random in the rectangle [a, b] × [c, d] (that is, its x-coordinate is between a and b, and its y coordinate is between c and d). let x and y denote the x and y coordinates of the point, respectively. (a) find the joint pdf of x and y . (hint: since the point is chosen uniformly, the joint pdf must be a constant over the rectangle and zero elsewhere. use the regularization property of a pdf to solve for this constant.) (b) find the joint cdf of x and y .

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