Let X1, X2, . . ., Xn be exponential random variables with parameter . Let the prior () be exponentially distributed with parameter m, which

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.

H+E).