Question: 4. Let X be a random variable with a density function given by a, x E]0, 1[ fx (x) = b, x (]2, 3[ .

4. Let X be a random variable with a density function given by a, x E]0, 1[ fx (x) = b, x (]2, 3[ . 0, otherwise a) What are the values of the parameters a and b, for which E(X) = 2? Xi) a = 1/4 and b = 3/4 Dii) a = 3/4 and b = 1/4 Diii) a = 1/2 and b = 1/2 Div) a = 1/3 and b = 2/3 b) Compute the the expected value of X2 as a function of a and b

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