2.44 ( ) Consider a univariate Gaussian distribution N(x|, 1) having conjugate Gaussian-gamma prior given by (2.154), and a data set x = {x1, .

2.44 ( ) Consider a univariate Gaussian distribution N(x|μ, τ−1) having conjugate Gaussian-gamma prior given by (2.154), and a data set x = {x1, . . . , xN} of i.i.d.

observations. Show that the posterior distribution is also a Gaussian-gamma distribution of the same functional form as the prior, and write down expressions for the parameters of this posterior distribution.