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Week 2.8 Preparation

Merged Robert Lanzafame requested to merge week-2-8 into main
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# Dam and River
<!--
```{admonition} MUDE Exam Information
:class: tip, dropdown
Questions 1, 3 and 4 are representative for the Q2 MUDE exam. Question 2 is related.
```{note}
Only Questions 3 and 4 of this exercise are relevant for the exam material in this chapter. Note, however, that Questions 1 and 2 should be review of material from previous chapters.
```
You are tasked to analyse the safety of a dam and the downstream river system. Downstream of the dam there is a dike ring protected by two main dike sections which must be able to contain water released from the reservoir. The dike sections are connected to each other and form a continuous boundary along the same side of the river. Let $P(F_1)=0.01$ and $P(F_2)=0.01$ denote failure probability of dike section 1 and section 2 respectively. There appears to be a correlation between failures of both sections, $\rho_{1,2}=0.9$, and the figure below shows the effect of the correlation coefficient on the joint failure of the two sections. -->
You are tasked to analyse the safety of a dam and the downstream river system. Downstream of the dam there is a dike ring protected by two main dike sections which must be able to contain water released from the reservoir. The dike sections are connected to each other and form a continuous boundary along the same side of the river. Let $P(F_1)=0.01$ and $P(F_2)=0.01$ denote failure probability of dike section 1 and section 2 respectively. There appears to be a correlation between failures of both sections, $\rho_{1,2}=0.9$, and the figure below shows the effect of the correlation coefficient on the joint failure of the two sections.
% commented paragraphs were used for an exam question with a fault tree
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