Question

Determine the availability for each of these cases:

a. MTBF = 62 days, average repair time = 8 days. (Round your answer to 2 decimal places.)
b. MTBF = 292 hours, average repair time = 13 hours. (Round your answer to 2 decimal places.)

Answer 1

The availability can be calculated using the formula: Availability = MTBF / (MTBF + MTTR). In case a, the availability is 0.89 and in case b, the availability is 0.96.

Step-by-step explanation:

The availability of a system can be calculated using the formula:

Availability = MTBF / (MTBF + MTTR)

Where MTBF is the mean time between failures and MTTR is the mean time to repair.

a. Case a:

MTBF = 62 days

Average repair time = 8 days

Using the formula, we can calculate:

Availability = 62 / (62 + 8) = 0.89 (rounded to 2 decimal places)

b. Case b:

MTBF = 292 hours

Average repair time = 13 hours

Using the formula, we can calculate:

Availability = 292 / (292 + 13) = 0.96 (rounded to 2 decimal places)