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An Operating System $(OS)$ crashes on the average once in 30 days, that is, the Mean Time Between Failures (MTBF) = 30 days. When this happens, it takes 10 minutes to recover the OS, that is, the Mean Time To Repair (MTTR) = 10 minutes. The availability of the OS with these reliability figures is approximately :

  1. 96.97%
  2. 97.97%
  3. 99.009%
  4. 99.97%
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Given that system crashes once in 30 days (= 30x24x60 minutes) and need 10 minutes to get repaired.

fraction of time system is not available = $\frac{10}{30* 24 *60} *100$ = 0.023%

Availability =100-0.023 = 99.97%

answer is D

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