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Suppose you have a random sample X1, X2, .. ., X, from the exponential distribution with parameter 1. If the prior distribution for 1 has

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Suppose you have a random sample X1, X2, .. ., X, from the exponential distribution with parameter 1. If the prior distribution for 1 has a gamma distribution with parameters a and p, show that the posterior distribution is also gamma distributed. What are its parameters

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