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Q1 3 Points (MZ) Consider the pair of discrete random variables X" and )" whose joint PMF is given by the table below: Y 0 2 O 0.04 0.07 0.06 X 1 0.4 0.1 0.2 2 0.06 0.03 0.04 We will compute estimators for X" given Y". That is, we will determine functions of the form X = g(Y ) so that given a value of Y", we produce an estimate X of X . Q1.1 1 Point Compute the ML estimator of X given Y". (The three numbers in each choice correspond to estimator X ML for Y = 0, 1, 2) O 1, 1,1 O 1,0, 0 O 2. 0,0 O 0.52, 0.16, 0.28 O 1.04, 0.8, 0.93 Save Answer Q1.2 1 Point Compute the MAP estimator of X" given Y". (The three numbers in each choice correspond to estimator X MAP for Y = 0, 1, 2) O 1, 1,1 O 1,0, 0 O 2, 0,0 O 0.52, 0.16, 0.28 O 1.04, 0.8, 0.93 Save Answer Q1.3 1 Point Compute the MMSE estimator of X given Y". (The three numbers in each choice correspond to estimator X MMSE for Y = 0, 1, 2) O 1, 1, 1 O 1,0, 0 O 2. 0, 0 O 0.52, 0.16, 0.28 1.04, 0.8, 0.93