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Question 1 (15 marks) Suppose that the probability density function of X is fx(x) = { 2(12), for 0 < x < 1; 0,

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Question 1 (15 marks) Suppose that the probability density function of X is fx(x) = { 2(12), for 0 < x < 1; 0, (a) Find the expected value of X, E(X). (b) Find the rth raw moment of X. (c) Find E((X + 3)2) using answer from part (a).

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