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Suppose that the measurement X of pressure made by a device in a particular system has the normal distribution with mean and variance 1, where

Suppose that the measurement X of pressure made by a device in a particular system has the normal distribution with mean and variance 1, where is the true pressure. Suppose that the true pressure is unknown but has the uniform distribution on the interval [5, 15]. If X = 8 is observed, find the conditional p.d.f. of given X = 8.

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