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| ===The Normal Distribution===
| | #REDIRECT [[The Normal Distribution]] |
| <br>
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| The normal distribution is commonly used for general reliability analysis, times-to-failure of
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| simple electronic and mechanical components, equipment or systems.
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| The <math>pdf</math> of the normal distribution is given by:
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| ::<math>\begin{align}
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| f(t)= \frac{1}{\sigma \sqrt{2\pi }}{e^{-\tfrac{1}{2}(\tfrac{t-\mu }{\sigma })^2}}
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| \end{align}</math>
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| <br>
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| where,
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| ::<math>\begin{align}
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| \mu = & \text{mean of the normal times to failure} \\
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| \sigma = & \text{standard deviation of the times to failure}
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| \end{align}</math>
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| The normal distribution and its characteristics are presented in more detail in [[The Normal Distribution | Chapter 9]].
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