Hi please use the given information to answer each part of the problem and please include any drawing, or steps/formulas to improve my understanding of the problem if necessary. Thank you! Please do not repost response from other post.

Consider the additive noise channel , 7 ' shown in Figure 1. The signal X and the noise Z have zero mean, variances P and N , reSpectively, and are uncorrelated, and a 79 0 and b a 0 are constants. Find the linear MMSE estimate of X given Y and its MSE in terms only of P, N, a, and b. 2 X : l'H n Y=b(aX+Z) Figure 1: Additive noise channel with path gains