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Let 1, ... , 10 are identically independently distributed (iid) with Bernoulli(p). a) Find the maximum likelihood function (MLF). b) Adopt the conjugate prior to

Let 1, ... , 10 are identically independently distributed (iid) with Bernoulli(p).

a) Find the maximum likelihood function (MLF).

b) Adopt the conjugate prior to the parameter p (Hint: Choose hyperparameters optionally within the support of distribution).

c) Using (a) and (b), find the posterior distribution of p.

d) Compute the minimum Bayesian risk estimator of p.

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