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Provide detailed step-by-step answers 4. [1 point] X and Y are random variables with finite expected value and variance. Is E [(X - E [X])

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4. [1 point] X and Y are random variables with finite expected value and variance. Is E [(X - E [X]) . Y] equal to the covariance of X and Y? Why (not)? 5. X is a random variable with finite expected value and variance. (a) [21/2 points] Find M if M = argminm E (X - m)2 , that is M is such that the expected value of the squared deviation of X from M is minimised. (b) [1 point] What is E (X - M) 2]

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