Let X1, X2, . . ., Xn be exponential random variables with parameter . Let the prior

Let X1, X2, . . ., Xn be exponential random variables with parameter λ. Let the prior π(λ) be exponentially distributed with parameter m, which is a fixed and known constant.
(a) Show that the posterior distribution of l is Gamma (n+1,

(b) Obtain the Bayes estimate of λ.

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H+E).