Question: Consider a Bayesian model for geometric data X ~ Geo(8). That is, f(x|9) 9(1 60H x 1, 2, 1r(0)=? a e [o 1] a) Suppose5

Consider a Bayesian model for geometric data X ~ Geo(8). That

Consider a Bayesian model for geometric data X ~ Geo(8). That is, f(x|9) 9(1 60H x 1, 2, 1r(0)=? a e [o 1] a) Suppose5 there is only one observation x = 13, and the prior is discrete uniform on 01 01 5 5' ... ,that is, 1r(9)= - : =E,E,...,E. Derive the posterior probability mass function6 f (9 Ix) and calculate the posterior mean as an estimator of 6

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