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6. Graphical Density The following figure depicts the joint density f X , Y of X and Y . a. Are X
and Y independent? Remember to justify your answer. b. What is the value of A ? c. Compute f
X ( x ) . d. Compute E ( Y X = x ) . You may leave your answer as a fraction of terms containing
x , but you may not have an integral. e. What is E ( X Y X + Y ) ?

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  • 1. 6. Graphical Density The following figure depicts the joint density f X , Y of X and Y . a. Are X and Y independent? Remember to justify your answer. b. What is the value of A ? c. Compute f X ( x ) . d. Compute E ( Y X = x ) . You may leave your answer as a fraction of terms containing x , but you may not have an integral. e. What is E ( X Y X + Y ) ?