The joint probability density function of X and Y is given by (x + y f(x, y) = = 0 0 < x < 1,0 < y < 1 elsewhere a) Are

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The Joint Probability Density Function Of X And Y Is Given By X Y F X Y 0 0 X 1 0 Y 1 Elsewhere A Are 1 (35.52 KiB) Viewed 9 times

The joint probability density function of X and Y is given by (x + y f(x, y) = = 0 0 < x < 1,0 < y < 1 elsewhere a) Are X and Y independent? Explain your answer without performing calculations. (3 marks) b) Find the density function of X. (4 marks) c) Find the density function of Y. (4 marks) d) Are X and Y independent? Show using calculations. (3 marks) e) Find P(X + Y < 1). (6 marks)