1. Asaiming the price ghan by Equities (1), show that the posterior density fry (#ly) hu the same form in Equation (1) but with updated A, my, A. In other words, the prior defined in Equities (1) B conjugate to the binge had likelihood. Clearly show the formula for updating the whims of band (4 mark(a)] 2. Provide a cloon form onpassion for the posterior looked on the price in Equation (0) in the HIV example, whin Y = 61 3. We R's mot finding functions to compilea 90% credible internal for 1bodice HIV eximple [1 mark(a)]