could you help me with this question? Thanks in advance!!!

0 marks). Let X1,...,Xn be a. random sample arising from X1 ~ N(0, 9) and |X_1,...,X1 ~ N(9Xi_1,02) for 1' = 2, . ..,n. Let the priors on 6 and 02 be 9 ~ N (0,72) and 02 ~ Inv-Gamma(a,) o: (darnlei? (9.) Obtain the posterior distribution of 9, 1r(9|02, x). (b) Obtain the posterior distribution of 02,1r(a'2|9,x)