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Answer:

Not sure for what class this is or what worksheet but I'll try to help as best as I can. Methods you could put are  

1. Design of experiments and testing protocols (e.g., by testing first the components of a series system with the greatest failure probability per unit of testing cost, to minimize the expected cost of determining whether the series system will perform when needed).

2. Statistical risk models and data analysis (accident precursors and near misses to help make best use of experience as it accumulates and provide early warnings of potential failure modes.)

3. Stochastic simulation models of systems operations and rare failure events can help to quantify the time until (or between) different kinds of failures.

Explanation:

I just got this all from research. Not sure if it'll help. But here you go!

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