Quiz4

  1. (3 points) Provide some intuition on why the probability that the parameter is in the frequentists confidence interval is exactly 1 or 0.

  2. (3 points) Provide some intuition on why the probability that the parameter is in the Bayesian credible interval is 1 - α.

  3. (4 points) Assume you have a Poisson sampling model and you specify a prior on θ ∼ Gamma(a, b). Provide some intuition on the interpretation of a and b.