Give the posterior mean as the Bayes estimator for each of the following settings: iid Let X1,..., X, independent such that X;A; ~ Poisson(A) and A; Exponential(B), where B is known. Give the Bayes...

Extracted text: Give the posterior mean as the Bayes estimator for each of the following settings: iid Let X1,..., X, independent such that X;A; ~ Poisson(A) and A; Exponential(B), where B is known. Give the Bayes estimator of d;, i = 1,..,n. a) %3D ..... Let X1,..., X, be iid from Normal(0,0²) where o² > 0 is known. Suppose we specify a Normal(4, 7²) prior on 0. Give the Bayes estimator of 0. b) c) Let X1,..., X, be independent such that X;|p ~ Bernoulli(p) with p E (0, 1), and p ~ Uniform(0, 1). Give the Bayes estimator of p.