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Q47Section C (Section C)47 of 60

Probability limit of reciprocal F variables

For n∈Nn\in\mathbb{N}, let X1,X2,…,XnX_1,X_2,…,X_n be a random sample from the F20,40F_{20,40} distribution. Then, as n→∞n\to\infty, 1n∑i=1n1Xi\frac1n\sum_{i=1}^n\frac1{X_i} converges in probability to __________ (round off to 2 decimal places)

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