A random point (X, Y) is distributed uniformly on the square with vertices (1,1), (1,-1), (-1, 1), and (-1,-1). That is, the joint pdf is f(x, y) = on the square. Determine the probabilities of the following events. (a) x² + y² <1 (b) 2X-Y>0 (c) |X+Y| < 2

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