2. Suppose your prior on (which is two-dimensional) is normal, with mean (2, 2) and precision...

2. Suppose your prior on µ (which is two-dimensional) is normal, with mean (2, 2) and precision matrix I, and suppose you observe a normal random variable with mean µ, and precision matrix ( 2 0 0 2 ). Suppose the observation is (3, 300).

(a) Compute the posterior distribution on µ that results from these assumptions.

(b) Compare the results of this calculation with those you found in section 8.1.2, problems 2 and 3.