question archive (a) The sales department of ABC Corp

(a) The sales department of ABC Corp

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(a) The sales department of ABC Corp. has 3 fax machines. The toner in each machine needs to be changed after about 5 hours of use. There is one clerk who is responsible for the fax machine maintenance. It takes her 15 minutes to replace the toner. What is the probability that the clerk is not busy replacing the toner? [5m)

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Probability (that the clerk is not busy) = 1 - Probability (the clerk is busy)

Probability ( the clerk is busy ) = Total duration he is busy / Total Duration

Total duration he is busy = 15 minutes x 3 fax machines = 45 minutes

Total Duration (in minutes) = 5 hours x 60 minutes = 300 minutes.

Probability ( the clerk is busy ) = 45 / 300 = 0.15

Probability (that the clear is not busy) = 1 - 0.15 = 0.85

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