Suppose that (x) is normally distributed with mean (mu) and variance 4 . Assume that the prior

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Suppose that \(x\) is normally distributed with mean \(\mu\) and variance 4 . Assume that the prior distribution of \(\mu\) is also normal with mean 0 and variance 25 . What is the posterior distribution of \(\mu\) given the data point \(x\) ?

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