Question: For the mixture model where each component is a one-dimensional Gaussian with variance 1 , show that the conditional distribution for the mean of the

For the mixture model where each component is a one-dimensional Gaussian with variance 1 , show that the conditional distribution for the mean of the \(k\) th mixture component is that given by Equation 10.4 .

Data from Equation 10.4

P()N(a, B),

P()N(a, B),

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