16.3* For the classification problem in Section 16.1 adopt a natural conjugate prior family for (0,, A), instead of the vague prior family used there, and find:

(a) The joint posterior density of 0,, A,, given (;, V, ;);

(b) The predictive density of (z | x, V, );

(c) The posterior classification probability for classifying z into ,, given z, that is Plz, z}.