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I don't know the problem. Can you explain why? A joint probability density function fx'th. y) is uniform over the shaded region shown. A new

I don't know the problem. Can you explain why?

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A joint probability density function fx'th. y) is uniform over the shaded region shown. A new random variable Z is dened as Z = X + Y. (a) Determine the MMSE estimator X0\". of X given the observed value z of Z. Answer must be a function of z and all details must be shown to get full credit. (b) Determine the LMMSE estimator Jim\". of X given the observed value 2 of Z. Answer must be a function of z and all details must be shown to get full credit. (c) Sketch both estimators in one plot. Properly label your plot. Answers: (a) [(Z1)+11I2, ZsZs-lorlsZsz, 1!2, -lsZ

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