Question: 2. (12 points) A random point (X, Y) is distributed uniformly on the square with vertices (2,2), (2, 2), (-2, 2), and (2,-2). That is,

2. (12 points) A random point (X, Y) is distributed uniformly on the square with vertices (2,2), (2, 2), (-2, 2), and (2,-2). That is, the joint pdf of X and Y is f(x,y) = % for 2 S x S 2 and 2 S y S 2. Answer the following questions, using geometric reasoning rather than integration. 2.1. What is the area of the square described above? 2.2. What is P(Y > 0)? 2.3. What is P(X > Y)? 2.4. What is P(X > %)? 2.5. What is P(X2 + Y2

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