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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queueing system mechanical engineering GATE ME 2024 Poisson distribution jobs exponential service time server busy probability queueing theory steady state mechanical engineering gate questions job arrival rate service time GATE queueing systems

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