Question: 3: Let Y1, . . . , Yn be a random sample from N(, 1 ), and suppose priors on and are Normal and Gamma

3: Let Y1, . . . , Yn be a random sample from N(, 1 ), and suppose priors on and are Normal and Gamma respectively. More precisely, N(0, 1 ) and Gamma(, ) (a) Given that two priors are independent, write down the joint posterior density function of , . (b) Write down the conditional density of |, y and |, y. (c) Write a pseudo code for "Gibbs sampler" to generate and using the given values of

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