Q2: (15 points) a) [7.5 points] Show that the likelihood function given by p(x|?) = ?N (i=1) N(xi|?, ??¹) ? ?^(N/2) exp (?(? / 2) ?(i=1 to N)(xi ? ?)²). When multiplied by Gamma distribution conjugate prior Gam(?|a?, b?) = (1 / ?(a?)) b?^(a?) ?^(a??1) exp (?b??), will result in a posterior of Gamma Distribution. b) [7.5 points] Consider the Posterior distribution obtained in a) of the form Gam(?|a?, b?). Please find a? and b?.