Question: Suppose that Y ~gamma ( 1 , ) . (The exponential distributionn with the mean . And the inverse gamma prior I G ( ,

Suppose that Y~gamma (1,). (The exponential distributionn with the mean . And the inverse gamma priorIG(,)

f()=()+1exp(1/())

a) Find the posterior distribution of .

b) Find the posterior mean and variance of .

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