Q3. (10 marks) Suppose the joint pdf (probability density function) of the two random variables X and Y is given by f(x,
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Q3. (10 marks) Suppose the joint pdf (probability density function) of the two random variables X and Y is given by f(x,
Q3. (10 marks) Suppose the joint pdf (probability density function) of the two random variables X and Y is given by f(x,y) = (- otherwise (a) (2 marks) Find the marginal pdf, f (y), of the random variable Y. {6.1–y)Osxsysi (6) (2 marks) Find the marginal pdf, f(x), of the random variable X. (C) (4 marks) Find the conditional pdf f(x|y). (d) (2 marks) Are X and Y independent? Justify your answer.
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