Question: 1. (28 points) Consider discrete random variables X and Y with the following joint pmf. Y 2 1.1. What is P(X 1,Y= 1)? 1.2.

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

1. (28 points) Consider discrete random variables X and Y with the following joint pmf. Y 2 1.1. What is P(X 1,Y= 1)? 1.2. What is fx(1)? X 1 2 0 0.2 1 0 0.2 2 0.3 0.2 720 0.1 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? C

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