Question: Thank you soo much for solving it Consider the sequence of independent and identically distributed random variables Xi , i = 1, .. ., 3

Thank you soo much for solving it

Consider the sequence of independent and identically distributed random variables Xi , i = 1, .. ., 3 for which E(X) = M and Var(X) = M2 . Consider the following estimator of E(X) : X = 1X1+ =X2+ 2X3 a. Is the estimator X positively biased, negatively biased or unbiased? b. Is the estimator X more, less, or equally as efficient as the estimator X = I n Xi ? i=1 Show all your working and provide all your reasoning

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