Question: Consider a Bayesian model with a parameter 0 having a prior distribution 0 ~ x (4), and one observation Y|0 - Poi(0). That is, 0

Consider a Bayesian model with a parameter 0 having a prior

Consider a Bayesian model with a parameter 0 having a prior distribution 0 ~ x (4), and one observation Y|0 - Poi(0). That is, 0 has a chi-squared distribution with 4 degrees of freedom and Y|0 has a Poisson distribution with mean E(Y|0) = 0. Derive the marginal probability mass function (pmf) of Y. Note: this is the uncondi- tional pmf of Y

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