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# Drawing fault tree based on data and estimating fault rate

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I need solutions to the question a) only, please.

For the system shown below where each labeled box indicates a valve that is normally open:

(a) Draw a fault tree for the top event "no flow out of the system."
(b) Find the minimal cutsets
(c) Find the exact top event probability using the basic event probabilities given. Note that you can solve this either by expanding the probability of the union of the minimal cutsets OR by drawing the BDD.

See Attached

https://brainmass.com/engineering/electrical-engineering/drawing-fault-tree-based-data-estimating-fault-rate-630111

#### Solution Preview

Attached thanks

For the system shown below where each labeled box indicates a valve that is
Normally open:

Draw a fault tree for the top event "no flow out of the system."
Find the minimal cutsets.
Find the exact top event probability using the basic event probabilities given.
Note: Solve this by expanding the probability of the union of the minimal cutsets
Find the exact top event probability using the basic event probabilities given.
Note: Solve this by drawing the BDD

*Note: Flow can go either direction through Leg E, but only one direction in all other legs.

Identify all paths leading to the result of no flow out of system, call this result F ̅ and identify all paths using ...

#### Solution Summary

A fault tree is constructed based on description and the overall fault failure probability solved using minimum cutsets and BDD approaches

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