Suppose that the joint distribution of X and Y is uniform over the region in the xy-plane bounded by the four lines x=-1, x = 1, y = x + 1, and y = x - 1. Determine (a) P(XY > 0) (b) the joint PDF of X and Y

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Suppose that the joint distribution of X and Y is uniform over the region in
the xy-plane bounded by the four lines x=-1, x = 1, y = x+1, and y = x - 1.
Determine
(a) P(XY > 0)
(b) the joint PDF of X and Y
(c) the PDF of X
(d) the conditional PDF of Y given that X = x
(e) P(Y > 0|X = 12).
Transcribed Image Text:Suppose that the joint distribution of X and Y is uniform over the region in the xy-plane bounded by the four lines x=-1, x = 1, y = x+1, and y = x - 1. Determine (a) P(XY > 0) (b) the joint PDF of X and Y (c) the PDF of X (d) the conditional PDF of Y given that X = x (e) P(Y > 0|X = 12).
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