Problem 1 Part (a) Acceptance-rejection sampler Metropolis-Hastings algorithm Part (b) Part (c) Problem 2 (Problem 7.1) Part (a) Part (b) Numerical imprecision Part (c) Part (d) Part (e) Problem 3 Part (a) Part (b) Distribution of \(\mu|(\tau,\vec{x})\) Distribution of \(\tau|(\mu,\vec{x})\) Part (c) Additional analysis Problem 1 Use Metropolis Hasting algorithm to generate \(Y \sim \operatorname{GAM}(\alpha, 1)\), where \(\alpha > 1\).