A signal processor software is expected to operate for 91.25 days after…

2017

A signal processor software is expected to operate for 91.25 days after repair, and the mean software repair time is expected to be 5 minutes. Then, the availability of the software is :

  1. A.

    96.9862%

  2. B.

    97.9862%

  3. C.

    98.9962%

  4. D.

    99.9962%

Attempted by 67 students.

Show answer & explanation

Correct answer: D

Solution:

  • Given mean time between failures (MTBF) = 91.25 days. Convert days to minutes: 91.25 × 24 × 60 = 131,400 minutes.

  • Given mean time to repair (MTTR) = 5 minutes.

  • Availability formula: A = MTBF / (MTBF + MTTR)

  • Substitute values: A = 131,400 / (131,400 + 5) = 131,400 / 131,405 ≈ 0.99996197.

  • Convert to percentage: 0.99996197 × 100 ≈ 99.9962%

Therefore, the availability is approximately 99.9962%.

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