Question: Consider two random variables X and Y with the joint PMF given by the table below. a. Find the linear MMSE estimator of X given

Consider two random variables X and Y with the joint PMF given by the table below. Y=0| Y = 1 1 X = 0 X = 1 1 3 1 3 0 Y Y=2 0 1 6

a. Find the linear MMSE estimator of X given Y , ( X̂_L).

b. Find the MSE of X̂_L.

c. Find the MMSE estimator of X given Y , ( X̂_M).

d. Find the MSE of X̂_M.

Y=0| Y = 1 1 X = 0 X = 1 1 3 1 3 0 Y Y=2 0 1 6

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