Find a suitable interval of 90% posterior probability to quote in a case when your posterior distribution
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Find a suitable interval of 90% posterior probability to quote in a case when your posterior distribution for an unknown parameter π is Be(20, 12), and compare this interval with similar intervals for the cases of Be(20.5, 12.5) and Be(21, 13) posteriors. Comment on the relevance of the results to the choice of a reference prior for the binomial distribution.
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