p = 0.0004. Compute the probability of failure of the system. Compon.pdf
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The document details the calculation of the probability of system failure based on independent component failures. Given a failure probability of p = 0.0004 for each component, the overall system failure probability is computed as approximately 0.00439. The calculation involves determining the probability of the system not failing by raising the complement of the component failure probability to the power of the number of components.
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![p = 0.0004. Compute the probability of failure of the system. Component failures are
independentof one another.
Solution
P(system failure)=1-P(system not failure)
now p(system not failure)
= [1-p(component failure)]^11
=[1-0.0004]^11
=(0.9996)^11
=0.99560878944
so
P(system failure)=1-0.99560878944=0.00439121055 ans](https://image.slidesharecdn.com/p0-230325094244-2f545c48/85/p-0-0004-Compute-the-probability-of-failure-of-the-system-Compon-pdf-1-320.jpg)
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p = 0.0004. Compute the probability of failure of the system. Compon.pdf
- 1. p = 0.0004. Compute the probability of failure of the system. Component failures are independentof one another. Solution P(system failure)=1-P(system not failure) now p(system not failure) = [1-p(component failure)]^11 =[1-0.0004]^11 =(0.9996)^11 =0.99560878944 so P(system failure)=1-0.99560878944=0.00439121055 ans