Question: This topic is on bayesian statistics. 8. Suppose Xi ~ Poisson(A) for i = 1, .. ., n, X = (X1, ..., Xn) , and

This topic is on bayesian statistics.

8. Suppose Xi ~ Poisson(A) for i = 1, .. ., n, X = (X1, ..., Xn) , and A ~ gamma(a, B). (a) (4pts) Draw a graph for this model. (b) (2pts) Write an expression that corresponds to P(A > Jo|X ) for a constant do. You do not need to evaluate any integrals just write the equation. (c) (2pts) Describe how you can use MCMC to estimate the probability, P(A > Ao|X) for a constant do

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