Given observations r1,..., an u and o?, derive the formula for #(ur1,..., xn), the marginal posterior distribution of 1, conditional on the data but marginal over o?. Check your work by comparing your formula to a Monte Carlo estimate of the marginal distribution, using some values of T1,.., Xn, lo, Po, Vo, SSo that you choose. Also derive 7(õlx1,....), where ở the precision. i.i.d. N(1, o?) and using the conjugate prior distribution for 1/0² is

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