Page 6 of 7flame detectors will be provided in the same detection zone. Therefore, the fire protection system for the atrium include:Beam detectorsTwo at level 14.0m Two at level 24.5mInfra-red flame detectors Two at level 3.0mLong-throw sprinkler system One set (One pump in duty, One pump in standby and One control valve)a)Use fault tree or event tree to illustrate the failure of the fire protection system serving for the atrium;b)Given the probability of the following events,Evaluate the failure probability of the fire protection system serving for the atrium.Basic Event Probability Beam detector fails to send fire signal to the fire safety control panel in case of fire 0.01Infra-red flame detector fails to send fire signal to the fire safety control panel in case of fire 0.015The fire safety control panel will not deliver a signal to actuate the pumps and valve 0.01. Pump fails to start upon receipt of the actuation signal0.005 Valve fails to open upon receipt of the actuation signal 0.001No water in the sprinkler tank0.0001B.3 The initiating event is a fire, for which we identify two possible consequences: activate the sprinkler system and activate the fire alarm.a)Use event tree analysis to develop the fire consequenceb)What is the average risk of fire damage based on the following information:P(Sprinkler system success): 0.9P(Fire alarm success | Sprinkler system success): 0.95P(Fire alarm success | Sprinkler system failure): 0.6Cost (fire handled OK): -$20,000Cost (partial damage): -$800,000Cost (system de
