Question: Assume a random sampleX1,X2,. . .,Xnfrom the Poisson distribution with meanl. If the prior dis- tribution forlhas a gamma distribution with para- metersaandb, show that

Assume a random sampleX1,X2,. . .,Xnfrom the Poisson distribution with meanl. If the prior dis- tribution forlhas a gamma distribution with para- metersaandb, show that the posterior distribution is also gamma distributed. What are its parameters?

Assume a random sampleX1,X2,. . .,Xnfrom the Poisson distribution with meanl. If

Assume a random sample X1. Xz, from the Poisson distribution with mean 1. If the prior dis- tribution for _ has a gamma distribution with para meters & and 8, show that the posterior distribution is also gamma distributed. What are its parameters

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