Please see the problem in the attachment.

1. State TRUE or FALSE by giving reasons 5 points each] You must state a correct reason to get credit. No partial credit. (a) Let Yl, Y2 and Y3 be three continuous random variables with the following joint PDF: if 2 Y2 2 Yl > 0 0 otherwise The NIMSE estimate of YI from Y2 and Y3 is given by Y2/2. (b) Consider a sequence of independent and identically distributed random variables X 1, X2, 1 The PNIF of xt is given by P(xt = 1) = P(xt and 1 P(xt = O) = Let zn 1 En Xi. The CDF of zn converges to that of Gaussian with zero mean and unit variance.