Question: 6. (11 marks) The random variables X and Y have joint pdf Ze_x_2y, 0 6. (11 marks) The random variables X and Y have joint

6. (11 marks) The random variables X and Y have joint pdf

6. (11 marks) The random variables X and Y have joint pdf Ze_x_2y, 0

6. (11 marks) The random variables X and Y have joint pdf x2y 0 00, O < y < oo fxy (x' Y) (4 marks) Are X and Y independent? Explain. otherwise a. b. c. (4 marks) What is the probability that X is greater than 1 or that Y is greater than 1? (3 marks) Calculate the expected value of Y.

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