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Q38Section I (Objective (Q1–Q80))38 of 79

Probability — Chebyshev bound for the sample mean of exponentials

Let x1,x2,…,x10x_1, x_2, …, x_{10} be a sample of size 10 from an exponential distribution with mean θ\theta. The lower bound to the probability P(0<Xˉ<2θ)P(0<\bar{X}<2\theta), where Xˉ=110∑i=110Xi\bar{X}=\frac{1}{10}\sum_{i=1}^{10}X_i, is

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