Which is the availability of a software with the following reliability figure?…

2022

Which is the availability of a software with the following reliability figure? Mean Time Between Failure (MTBF) = 25 days, Mean Time to Repair (MTTR) = 6 hours.

  1. A.

    1%

  2. B.

    9%

  3. C.

    99.009%

  4. D.

    99.09%

Attempted by 158 students.

Show answer & explanation

Correct answer: C

Solution:

Convert MTBF to hours: 25 days × 24 = 600 hours

MTTR is already in hours: 6 hours

Availability formula:

A = MTBF / (MTBF + MTTR)

  • Substitute values: A = 600 / (600 + 6) = 600 / 606

  • Decimal form: ≈ 0.990099

  • Percentage form: ≈ 99.009% (rounded to three decimal places)

Therefore, the availability is 99.009%.

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