Past exam of the mathematics course of the University of Cambridge / 2017 / ib / Paper 2 / 8H / a / Solution

A $100\gamma \%$ confidence interval is a pair of statistics $L(X)\le U(X)$ whose random interval satisfiesAn 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 $0<\gamma <1$.