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== Expectation and Variance ==
 
== Expectation and Variance ==
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If the occurence of a success is encoded as '''1''' and the occurence of a failure with '''0''', then a probability of a success of ''p'' (and therefore, of a failure as ''q=1-p'') leads to an expectation of
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If the occurrence of a success is encoded as '''1''' and the occurrence of a failure with '''0''', then a probability of a success of ''p'' (and therefore, of a failure as ''q=1-p'') leads to an expectation of
    
<math>\mathbf{E}[X] = p \cdot 1 + q \cdot 0 = p</math>
 
<math>\mathbf{E}[X] = p \cdot 1 + q \cdot 0 = p</math>
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