Question: Problems 1. (28 points) Consider discrete random variables X and Y with the following joint pmf. 1.1. What is P(X 1, Y = 1)?

Problems 1. (28 points) Consider discrete random variables X and Y with

Problems 1. (28 points) Consider discrete random variables X and Y with the following joint pmf. 1.1. What is P(X 1, Y = 1)? 1.2. What is fx (1)? Y X 1 2 0 0.2 I 0.1 1 0 0.2 2 0.3 0.2 1.3. What is Fx (1)? 1.4. Let the joint cumulative distribution function for random variables X and Y be F(x, y) such that F(x, y) = P(X x, Y y). What is F(0,2)? 1.5. What is Cov(X, Y)? 1.6. What is pX,Y? 1.7. Are X and Y independent?

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