Compute P(1λ≥nminiXiln(5)).
P(1λ≥nminiXiln(5))=
This computation allows us to compute a confidence interval. The interpretation is as follows:Let α be a value such that 1−α=P(1λ≤nmini(Xi)ln(5)). (This value depends on the answer you just computed.)
Based on this setup, the corresponding, non-asymptotic, one-sided confidence interval at level 1−α for 1/λ is:(Type min for min(Xi).)(Note the confidence interval is finite.)Note: The value of α is unusually large (α>0.5) in this problem
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