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Q2. The continuous random variables Xand Y have the joint probability density function fxy (x, y) = otherwise Find: Hint: you might find it easier

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Q2. The continuous random variables Xand Y have the joint probability density function fxy (x, y) = otherwise Find: Hint: you might find it easier to start by finding a general expression for E(X" Y). Enter your answers as decimal numbers (4 decimal places are sufficient). (a) E(X) (2 marks) (b) var(X) = (3 marks) (c) E(Y) = (2 marks) (d) var()) = (3 marks) (e) the covariance, cov(X,n) = (3 mark) (f) the correlation, p(X,Y) = 1 mark)

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