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3. (a) (7 marks) If X is a random variable with the following cumulative distribution function: Jo, 1 -exp(-.-), x>0 Find E(X). (b) If X

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3. (a) (7 marks) If X is a random variable with the following cumulative distribution function: Jo, 1 -exp(-."-), x>0 Find E(X). (b) If X is a uniform random variable with support - 2x2 (i.e. X ~ U(-2,2) ). (3 marks) Find P( .X" -1|> 0.5). II. (6 marks) Find the cumulative distribution function of Y = X -1

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