Fault Tree Analysis: Develop a Fault Tree to determine the probability of "Cooling system

overheating." Use the two causal chains and information provided below in the $$Data$$

section.

$2.$ Probability Assessment: Calculate the probability of a cooling system overheating using

your FTA.

$3.$ Mitigation Strategies: Propose specific changes targeting human error reduction, such as

improved training, better communication protocols, and enhanced system interface

design.

Data

Known casualty chains with probabilities leading to coolant system over heating

o Chain $1$:

$$ Event A: Sensor error occurs $(0\mathrm{.}05).$

$$ Event B: Followed by misinterpretation of sensor readings by the operator $(0\mathrm{.}25).$

$$ Event C: Leads to incorrect manual override $(0\mathrm{.}2).$

$$ Event D: Leads to a delayed response to critical alerts $(0\mathrm{.}18)$

$$ Event E: Aggravated by an inadequate understanding of system interdependencies

$(0\mathrm{.}1).$

$$ Event F: Leads to inappropriate handling of primary coolant loop failure $(0\mathrm{.}02)$

$$ Event K: Culminates in overheating coolant $(0\mathrm{.}08$