A solar power station provides electricity to a mini-grid of a supercomputer facility. An auxiliary power generation sub-system was also designed to provide extre electricity in case the output power of the solar power station is not enough. The effectiveness of the sub-system is to be quantified using Event Tree Analysis The auxiliary power generation sub-system has two Independent and diverse power sensors, function as a trigger. I ether of these are activated an intelligent electric power converter will start to work. Once the converter works, a diesel generator will start to provide auxiliary power to the supercomputer facility through the converter. There is also a back-up gas turbine power generator to provide the auxiliary power if the diesel generator fail. If the converter doesn't work properly, the supercomputer is in a dangerous state. if the converter work well, but the diesel generator or gas turbine generator fails, the supercomputer is considered unsafe. An Event Tree Analysis for the subsystem is given in Figure Q14.1 including the failure probability of the various elements. The Initiating Event for the event tree is the power generated from the solar power station is below a certain value, which has been calculated as being 1.5 x10-1 per year Calculate the probability of an unsafe or dangerous end slate from this Initiating Event in a given year of operation Converter End state Output Power Low Power sensor 1 activated Power sensor 1 activated Diesel Generator Gas turbine generator Safe 5x10-3 1- (2.5 x103) Safe 2.5 x10-3 Unsafe SUCCESS 1.5 x103 Dangerous 1.5 x10-1 Safe 5 x10-3 Safe 12.5 x10-3 Unsafe FAILURE 2.5 x10-3 1.5 x10-3 Dangerous 4 x10-3 Dangerous Enter only the numerical part of your answer. DO NOT use scientific notation (e.g. if your answer is 1.1x104, enter 0.00011)