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Q54Section III (Statistics)54 of 84

1n(n+1)∑jXj\frac1{n(n+1)}\sum jX_j tends to E(X1)/2E(X_1)/2 — the option lacks a factor 2

Let {Xn}\{X_n\} be a sequence of iid random variables with E(X1)≠0E(X_1)\ne0 and Var⁡(X1)<∞\operatorname{Var}(X_1)<\infty. Then, which of the following statements is true?

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