Please help with the question attached below:

Let X1, . . . , Xn be i.i.d. Poisson random variables with parameter A. (a) Show that the Gamma distribution is a conjugate prior for A. Be completely explicit about the parameters of your posterior distribution. (b) Use the posterior distribution to show that the Bayes estimator for A is given by: ;\\ : zzlle-G BE n+1