Suppose we take an additional ve observations from the Poisson( ). They are:

(a) Use the posterior from Computer Exercise 10.3 as the prior for the new observations and nd the posterior distribution using the macro PoisGamP in Minitab or or the function poisgamp in \(\mathrm{R}\).
(b) Find the posterior mean and median.
(c) Find a \(95 \%\) Bayesian credible interval for

Data From Exercise 10.3

Suppose we start with a \(\operatorname{gamma}(62)\) prior for . Find the posterior distribution using the macro PoisGamP in Minitab or or the function poisgamp in \(\mathrm{R}\).
(a) Find the posterior mean and median.
(b) Find a 95\% Bayesian credible interval for .

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