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Suppose that(X,Y)is uniformly distributed over the rectangular region with corners(0, 0),(2, 0),(2, 1),(0, 1). Compute the...

Suppose that(X,Y)is uniformly distributed over the rectangular region with corners(0, 0),(2, 0),(2, 1),(0, 1).

Compute the following:

(1)P{X=Y}

(2)P{X < Y}

(3)P{X < Y^2}

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