Let Xi? z' = 11 . . . ,N be a random sample with distribution Ak kl ,\\ f(:c|)\\) : Ex 6 where k E N is known while A is to de determined. Show that the T distributions form a conjugate family of prior for the the sample X. If the prior distribution on A is PM, (3) nd a' and ,6' such that the posterior distribution is Ffa', 5')