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Statistical Work
The Fault Tree Analysis Diagram

Representation of the keys
Key Representation
1 FLOODING IN New Orleans
2 Water shutter left closed
3 Turbine set in operation
4 Maintenance work carried put too long
5 Closed water shutter not operated
6 Operational scheme review
7 Crew coordination failure
8 Rule violation
9 Crew coordination failure
10 Slip of memory
The Measure of the Flooding Control System
The measure of the flooding control failure is determined by the combination of the key event. The combination takes place in the AND and OR gates. The AND gate means that the combination of the events depends on the occurrence of the other. For the failure to occur, the two events must happen simultaneously (Barlow, 29). The OR gate means that for the failure to occur, at least one of the events must occur. The OR gate means that all the events can occur and cause failure but only one event is enough to cause the failure.
From the diagram above, the flooding in the region relies on the occurrence of many events. Some of the events might fail to occur and still the failure taker place. For example, the event number seven might not occur but the failure takes place because of the OR gate in the system. For the failure to occur, the events two and three must happen.
The probability of the event occurring is expressed in the percentage or decimal place. The occurrence of the event is combined according to the type of the gate to come up with the proper analysis.

The probability of failure for the events 7 and 8 is as shown below
P(5)= P8* P7
= 0.1*0.1= 0.01
P(6)= P(10)*P(9)
= 0.2*0.1= 0.02
P(2)= {1-(1-P4)*(1-P5)*(1-P6)
= 1-(1-0.3*0.01*0.02)
= 0.0006
P(1)= P2*P3
0.0006*0.9 = 0.00054
The probability of the failure occurring is thus 0.00054
Works Cited
Barlow, Richard E. “Fault Tree Analysis.” Wiley StatsRef: Statistics Reference Online (2014).