Template:NormalDistribution

The Normal Distribution
The normal distribution is commonly used for general reliability analysis, times-to-failure of simple electronic and mechanical components, equipment or systems. The $$pdf$$ of the normal distribution is given by:


 * $$\begin{align}

f(t)= \frac{1}{\sigma \sqrt{2\pi }}{e^{-\tfrac{1}{2}(\tfrac{t-\mu }{\sigma })^2}} \end{align}$$
 * where,


 * $$\begin{align}

\mu = & \text{mean of the normal times to failure} \\ \sigma = & \text{standard deviation of the times to failure} \end{align}$$

The normal distribution and its characteristics are presented in more detail in Chapter 9.