3. Consider the model in Section 8.5 (univariate normal distribution with uncertain mean and precision). In this

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3. Consider the model in Section 8.5 (univariate normal distribution with uncertain mean and precision). In this case the posterior is available analytically, and the posterior on the two parameters are not independent. Apply variational inference, and explore how much error is introduced through the assumption of independence between the posterior mean and the posterior precision.

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