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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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Answer:

1755 minutes

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.

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