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Data yi, i = 1, . . . , n arise from a Poisson distribution with...

Data yi, i = 1, . . . , n arise from a Poisson distribution with rate parameter λ.

  1. (a) Write down the likelihood for the model, up to the constant of proportionality.

  2. (b) A Gamma distribution is proposed as the prior. How can we use such a prior to include our belief that λ is 10±1 i.e. mean 10 and standard deviation 1?

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