Template:Normal probability density function

Normal Probability Density Function
The $$pdf$$  of the normal distribution is given by:


 * $$f(T)=\frac{1}{{{\sigma }_{T}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{T-\mu }{{{\sigma }_{T}}} \right)}^{2}}}}$$


 * where:

$$\mu= \text{mean of the normal times-to-faiure, also noted as} \bar T $$

$$\theta=\text{standard deviation of the times-to-failure} $$

It is a two-parameter distribution with parameters $$\mu $$  (or  $$\bar{T}$$ ) and  $${{\sigma }_{T}}$$, i.e. the mean and the standard deviation, respectively.