Q3. (10 marks) Suppose the joint pdf (probability density function) of the two random variables X and Y is given by (6(1
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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 (6(1
Q3. (10 marks) Suppose the joint pdf (probability density function) of the two random variables X and Y is given by (6(1- y). 0 Sxsy <1 f(x,y) = lo, otherwise (a) (2 marks) Find the marginal pdf, fb), of the random variable Y. (b) (2 marks) Find the marginal pdf, f(x), of the random variable x. (c) (4 marks) Find the conditional pdf f(xly). (d) (2 marks) Are X and Y independent? Justify your answer.
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