Before examining the survey results, the university wants to select a prior for p, the probability that a student would enrol. If they have no idea whether p is low, high or somewhere in between, and want every value between 0 and 1 to be equally plausible, which of the following priors is most appropriate?

Question

Answer

Exponential(1), because it has a single parameter and is easy to update.

Answer

Beta(1, 1), because it is uniform and gives every value of p between 0 and 1 equal density.

Answer

Normal(0.5, 1), because it is centred on 0.5 and has a wide spread.

Answer

Beta(10, 2), because it is skewed and gives every value of p between 0 and 1 equal densities.

Answer

Beta(4, 4), because it is symmetric and centred on the neutral value of 0.5.

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Before examining the survey results, the university wants to select a prior for ...

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