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For the situation described in Exercise 7.4.3, put a uniform prior on the hyperparameter K and…

For the situation described in Exercise 7.4.3, put a uniform prior on the hyperparameter K and determine the posterior of θ

Exercise 7.4.3
Suppose that the statistical model is given by

For the situation described in Exercise 7.4.3, put a uniform prior on the hyperparameter K and...

a) If we use the maximum value of the prior predictive for the data to determine the value of K and hence the prior, which prior is selected here?