needs specific answer for Q1

(a) Find the conditional posterior distribution ofμgiven (σ2,x1,...,xn).(b) Find the marginal posterior distribution ofμ.(c) Find the 95% highest posterior density (HPD) credible region forμ.(d) Find a 95% posterior credible interval forσ2.(e) If a new individual is randomly selected from the population, what is the posteriorprobability that this person's height will be between 150 and 160 centimeters ?