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The availability of 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?(choose the nearest option)

  1. $205$ days.
  2. $300$ days.
  3. $500$ days.
  4. $700$ days.

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