Question: 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

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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