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add exercise notes (2 pages)
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rlanzafame committed Jan 9, 2025
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6 changes: 2 additions & 4 deletions book/pd/exercises/exercise-dam.md
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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. -->
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4 changes: 4 additions & 0 deletions book/pd/exercises/exercise-paint.md
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# Paint System

```{note}
This exercise is optional; it is provided to illustrate some of the concepts in the decision theory and economics-related pages of the Risk Evaluation chapter, which are not part of the exam material.
```

In this assignment we will consider a paint system that prevents rust and corrosion on a steel structure. A high quality paint system costs €40 per square meter and has a failure probability of 0.002, which assumes that the old paint system is completely stripped off and the steel surface is cleaned prior to installation, which has an additional cost of €20 per square meter.

Common cost cutting measures are to use a cheaper paint that costs half as much, but is five times more likely to fail, or to simply sand the old paint rather than stripping it off prior to applying a new paint, which increases the failure probability by 10, but only costs €5 per square meter.
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