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Standard deviation of the posterior distribution

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Suppose that a random sample of 100 observations is to be taken from a normal distribution for which the value of the mean B is unknown and the standard deviation is 2, and that the prior distribution of 8 is a normal distribution. Show that no matter how large the standard deviation of the prior distribution is, the standard deviation of the posterior distribution will be less than 1/5.

Reference no: EM131832569

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