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Question: (Bayesian) Suppose X1,X2,...,,Xn are iid Binomial(3,θ), and the prior distribution of θ is Uniform[0,1]. (a)...

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(Bayesian) Suppose X1,X2,...,,Xn are iid Binomial(3,θ), and the prior distribution of θ is Uniform[0,1].

(a) What is the posterior distribution of θ|X1....,Xn?

(b) What is the Bayesian estimator of θ for mean square loss?

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