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. X = 0 X = 1 Y = 0 =0 7/12 3 7 Y Y = 1 3|7 0

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

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

c. Find the MSE of X̂ M.

X = 0 X = 1 Y = 0 =0 7/12 3 7 Y Y = 1 3|7 0

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