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 f X ( 1 ) ? 1.3. What is F X ( 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 X , Y ? 1.7. Are X and Y independent?.