3.6 (A) The proportion uptime of a certain piece of production equipment is 97.5%. When a breakdown occurs, the mean time to repair is 45 min. Determine the mean time between failures of this equipment.

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Mathematics

Katelynn Wall

22 May, 22:23

3.6 (A) The proportion uptime of a certain piece of production equipment is 97.5%. When a breakdown occurs, the mean time to repair is 45 min. Determine the mean time between failures of this equipment.

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Yesenia Walker · Answer 1

1755 minutes

Step-by-step explanation:

To determine the mean time between failures in the equipment you need to calculate the time in which this equipment is functional. You know that the 97.5% of the time the equipment is working, so the other 2.5% the equipment is failing; this means that 45 min is 2.5%. With a rule of three you can calculate the time of working (97.5*45) / (2.5) = 1755 minutes. So between failure the equipment can work 1755 minutes.