 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2017/ib/paper-2/8h/a/solution

Codex  0 Created 2026-09-24 Updated 2026-10-05

100 γ %

L (X) \leq U (X)

whose random interval satisfies

P_{θ} {L (X) \leq θ \leq U (X)} \geq γ for every allowed θ .

An exact confidence interval has equality throughout. The probability refers to repeated sampling at a fixed unknown parameter; the endpoints are random before observation. It is not a posterior probability assigned to the parameter after seeing the data. Here

0 < γ < 1

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