Editing Probability vector (section)

==Properties==
* The mean of the components of any probability vector is <math> 1/n </math>.
* The shortest probability vector has the value <math> 1/n </math> as each component of the vector, and has a length of <math display="inline">1/\sqrt n</math>.
* The longest probability vector has the value 1 in a single component and 0 in all others, and has a length of 1.
* The shortest vector corresponds to maximum uncertainty, the longest to maximum certainty.
* The length of a probability vector is equal to <math display="inline">\sqrt {n\sigma^2 + 1/n} </math>; where <math> \sigma^2 </math> is the variance of the elements of the probability vector.