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Suppose y_{n+1}~Poisson(lambda). P(lambda | y_1,...,y_n) = N(m,s) is the posterior of lambda. What will be the posterior predictive distribution

Suppose y_{n+1}~Poisson(\lambda). P(\lambda | y_1,...,y_n) = N(m,s) is the posterior of \lambda. What will be the posterior predictive distribution

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