Assume you observe Y; where each Y; is independent and Gaussian with mean and variance given by EY = a: VarY = alo, i=1...... (a) Estimate u and o2 using maximum likelihood assuming the vector a is known and all a, 7 0. (b) Assume you could choose to observe Y, for i = 1,...,n where EY = ap; VarYao, i=1,...,n. assuming the vector a is known and all a, each Z, is independent and Gaussian with 0, or you could chose to observe Zi, i = 1,..., m where mean and constant variance given by EZ = b;p: VarZ = o, i=1,..., m. where b is known and all b, 0. Which sample should you prefer to acquire to estimate u and o? Give your reasoning, and make assumptions about the magnitude of b