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GATE | Gate IT 2005 | Question 64

  • Last Updated : 28 Jun, 2021

The availability of a complex software is 90%. Its Mean Time Between Failure (MTBF) is 200 days. Because of the critical nature of the usage, the organization deploying the software further enhanced it to obtain an availability of 95%. In the process, the Mean Time To Repair (MTTR) increased by 5 days.
What is the MTBF of the enhanced software

 
(A) 205 days
(B) 300 days
(C) 500 days
(D) 700 days


Answer: (C)

Explanation:  

Availability = MTBF/(MTBF + MTTR)

Option 1 : 0.9 = 200/(200 + a) = 22.22

Case 2 :0.95 = b/(b+22.22+5)=  517.18(near to option C)

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