Let the random variables U and V be as described. (a) Find the MAP estimator of U

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Let the random variables U and V be as described.
(a) Find the MAP estimator of U given the observation V = v.
(b) Find the ML estimator of U given the observation V= v.
(c) Find the LMMSE estimator of U given the observation V= v.
(d) Find the MSE of each estimator in (a), (b), and (c).
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