(New page: For Bernoulli RVs, <math> E[X] = p \!</math> <math> Var(X) = p(1-p)\!</math>)
 
 
Line 1: Line 1:
 
For Bernoulli RVs,
 
For Bernoulli RVs,
  
<math> E[X] = p \!</math>
+
<math> E[X^2] = E[X] = p \!</math>
 +
 
 +
After maximizing the variance equation, we get the result as:
  
 
<math> Var(X) = p(1-p)\!</math>
 
<math> Var(X) = p(1-p)\!</math>

Latest revision as of 17:56, 3 November 2008

For Bernoulli RVs,

$ E[X^2] = E[X] = p \! $

After maximizing the variance equation, we get the result as:

$ Var(X) = p(1-p)\! $

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