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The probability that an event A will occur, when another event B is known to occur or to have occurred. It is commonly denoted by P(A|B).

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Conditional distributions derivation

I am trying to solve the following problem: Given $n$ independent observations $Y_i$ from a Normal$(\theta, \tau^{-1})$ distribution with unknown mean $\theta$ and unknown precision $\tau$, i.e $$ …
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