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12. Conditioning and estimation. 1. For a joint distribution for variables X and Y where the support of X (the number of possible values of the random variable X) has size at most 2, the LLSE estimate of Y given X is the same as MMSE estimate of Y given X. O True OFalse 2. For the following parts. Consider X and Y with E [X] = E[Y] = 0 unless otherwise specified. (a) Always True or Possibly False. E[E[Y |X]] = 0. O True O False (b) Always True or Possibly False. E[Y [X] = 0. O True OFalse (c) What value of c minimizes E[(X - c)=]. (d) Always true or possibly false. Consider Z = Y - E[Y |X], and Z' = Y -(aX + b) for some a and b, then E[Z-]