The five generators power your company mission. The 2.5 kW generators provide po

Question

The five generators power your company mission. The 2.5 kW generators provide power to the Retrans site with one of them being an alternate. In the same way (one as an alternate), the 5 kW generators power the TOC (Tactical Operations Center). The 10 kW generator is the only one with enough power to provide climate control. What is the probability that you are fully mission capable (FMC) with regards to power at the end of the 30-day NTC rotation (this means that you have power to the Retrans site, the TOC, and climate control)? 4. Your battalion is interested in purchasing a new 10 kW generator for the NTC Rotation. What would the new generator's 30-day failure rate need to be in order to increase your FMC Probability to 0.95? 5.

Explanation / Answer

P(atleast one will work among two 2.5 kw generators )=.08*(1-.08)*2+(1-.08)^2=.9936

similarly P(atleast one will work among two 5 kw generators )=.99

P(10kw generator will work)=.85

hence P(fully mission capable is )=.9936*.99*.85=.836 (due to the events are independent )

a new 10kw generator is added ......

by similar way we get

A=.95/(.9936*.99)=.9658

where A=.85*a+(1-a)*.15+.85*(1-a) ; a= new generator failure rate

by solving this we get a=.228

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