Mechanical Engineering > GATE 2024 > Queueing Theory
A queueing system has one single server workstation that admits an infinitely long queue. The rate of arrival of jobs to the queueing system follows the Poisson distribution with a mean of 5 jobs/hour. The service time of the server is exponentially distributed with a mean of 6 minutes. In steady state operation of the queueing system, the probability that the server is not busy at any point in time is
A
0.20
B
0.17
C
0.50
D
0.83

Correct : c

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