Consider two random variables X and Y with the joint PMF given by the table below. a.

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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 , ( X̂L).

b. Find the MSE of X̂L.

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

d. Find the MSE of X̂M.

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