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Q28Section A (Section A)28 of 60

Chi-square pivot for an exponential rate

Let X1,X2,…,XnX_{1},X_{2},…,X_{n} be a random sample from Exp⁡(θ)\operatorname{Exp}(\theta) distribution, where θ∈(0,∞)\theta\in(0,\infty). If Xˉ=1n∑i=1nXi\bar{X}=\frac{1}{n}\sum_{i=1}^{n}X_{i}, then a 95%95\% confidence interval for θ\theta is

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