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| ===The Normal Conditional Reliability Function===
| | #REDIRECT [[The_Normal_Distribution]] |
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| The normal conditional reliability function is given by:
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| ::<math>R(t|T)=\frac{R(T+t)}{R(T)}=\frac{\int_{T+t}^{\infty }\tfrac{1}{{{\sigma }}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{x-\mu }{{{\sigma }}} \right)}^{2}}}}dx}{\int_{T}^{\infty }\tfrac{1}{{{\sigma }}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{x-\mu }{{{\sigma }}} \right)}^{2}}}}dx}</math>
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| Once again, the use of standard normal tables for the calculation of the normal conditional reliability is necessary, as there is no closed form solution.
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