Sample size: (pi) has prior hyperparameters (a_{0}=12) and (b_{0}=31). How many new observations do you need to

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Sample size: \(\pi\) has prior hyperparameters \(a_{0}=12\) and \(b_{0}=31\). How many new observations do you need to make to ensure that \(I_{0.2}^{\pi}\) is narrower than 0.05 ?

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