Question 2 [10 points]: Bayesian Theorem Consider a D-dimensional Gaussian random variable x with distribution N(x|M, E) in which the covariance E is known and for which we wish to infer the mean y from a set of observations X = {x1, ...,XN}. Given a prior distribution p(u) = N(ulMo, Zo), find the corresponding posterior distribution p(u|X)