Question: 4. (20 points) A random point (X, Y) is distributed uniformly on the rectangle with vertices (2,1), (2, 1), (2, 1), and (2,1). That is,

4. (20 points) A random point (X, Y) is distributed uniformly on the rectangle with vertices (2,1), (2, 1), (2, 1), and (2,1). That is, the joint pdf of X and Y is f(x,y) = g for 2 S x 5 2 and 1 S y g 1. Answer the following questions, using geometric reasoning rather than integration. 4.1. What is the area of the rectangle described above? 4.2. What is P(X 21')? 4.4. What is POE2 + Y2

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