Editing Logistic distribution (section)

=== Cumulative distribution function ===
The logistic distribution receives its name from its [[cumulative distribution function]], which is an instance of the family of logistic functions. The cumulative distribution function of the logistic distribution is also a scaled version of the [[Hyperbolic function|hyperbolic tangent]].

:<math>F(x; \mu, s) = \frac{1}{1+e^{-(x-\mu)/s}} = \frac12 + \frac12 \operatorname{tanh} \left(\frac{x-\mu}{2s}\right).</math>

In this equation {{math|''μ''}} is the [[mean]], and {{math|''s''}} is a scale parameter proportional to the [[standard deviation]].