Question: 31. Assume a random sample X1, X2, . . . , Xn from the Poisson distribution with mean l. If the prior distribution for l

31. Assume a random sample X1, X2, . . . , Xn from the Poisson distribution with mean l. If the prior distribution for l has a gamma distribution with parameters a and

b, show that the posterior distribution is also gamma distributed. What are its parameters?

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