Template:NormalDistribution: Difference between revisions
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===The Normal Distribution=== | === The Normal Distribution === | ||
<br> | |||
The normal distribution is commonly used for general reliability analysis, times-to-failure of | <br>The normal distribution is commonly used for general reliability analysis, times-to-failure of simple electronic and mechanical components, equipment or systems. The <span class="texhtml">''p''''d''''f''</span> of the normal distribution is given by: | ||
simple electronic and mechanical components, equipment or systems. | |||
The < | |||
::<math>\begin{align} | ::<math>\begin{align} | ||
f(t)= \frac{1}{\sigma \sqrt{2\pi }}{e^{-\tfrac{1}{2}(\tfrac{t-\mu }{\sigma })^2}} | f(t)= \frac{1}{\sigma \sqrt{2\pi }}{e^{-\tfrac{1}{2}(\tfrac{t-\mu }{\sigma })^2}} | ||
\end{align}</math> | \end{align}</math> | ||
<br> | |||
where, | <br>where, | ||
::<math>\begin{align} | ::<math>\begin{align} | ||
\mu = & \text{mean of the normal times to failure} \\ | \mu = & \text{mean of the normal times to failure} \\ | ||
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\end{align}</math> | \end{align}</math> | ||
The normal distribution and its characteristics are presented in | The normal distribution and its characteristics are presented in detail in the chapter [[The Normal Distribution]]. | ||
Revision as of 20:13, 11 March 2012
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 p'd'f of the normal distribution is given by:
- [math]\displaystyle{ \begin{align} f(t)= \frac{1}{\sigma \sqrt{2\pi }}{e^{-\tfrac{1}{2}(\tfrac{t-\mu }{\sigma })^2}} \end{align} }[/math]
where,
- [math]\displaystyle{ \begin{align} \mu = & \text{mean of the normal times to failure} \\ \sigma = & \text{standard deviation of the times to failure} \end{align} }[/math]
The normal distribution and its characteristics are presented in detail in the chapter The Normal Distribution.