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In a scientific context, ''X'' may be a [[hypothesis]], and ''Y'' may be experimental [[data]].  The theorem can then be used to determine the degree of belief in the hypothesis by using the experimental data.
 
In a scientific context, ''X'' may be a [[hypothesis]], and ''Y'' may be experimental [[data]].  The theorem can then be used to determine the degree of belief in the hypothesis by using the experimental data.
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== Applications and Examples ==
 
== Applications and Examples ==
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               <math>p(\theta|y) = \frac{p(\theta)p(y|\theta)}{p(y)}</math>
 
               <math>p(\theta|y) = \frac{p(\theta)p(y|\theta)}{p(y)}</math>
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== References ==
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<references/>
    
[[Category:Probability and Statistics]]
 
[[Category:Probability and Statistics]]
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