Question
Engineering Mathematics Question on Poisson, Normal and Binomial distributions
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
Answer
0.50
Explanation
Solution
The correct option is (C): 0.50