A random point (X, Y) is uniformly distributed on the 2 x 2 square ith vertices at (1, 1), (–1, 1), (1, –1), (–1, –1). That is, the joint pdf is inverse of the total rea, f(x,y) = 1/4 with support on the square. Determine the following probabilities. 1. P(X² +Y² < 1). 2. P(2X – Y > 0). 3. P(|X +Y|< 2). lint: think geometrically and express the regions you are integrating over as regular geo- notuio ahoneg for which

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A: Probability = number of favorable eventstotal number of events