Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 218 / 6 / e / Solution

The reported 95% credible interval for ${\beta }_1$ isConditional on the model, prior, and observed data, its posterior probability is 0.95. A frequentist 95% confidence interval instead has 95% coverage under repeated sampling before the data are observed; it does not assign a sampling probability to the fixed parameter after observing this dataset.