Register

GATE Mechanical 2024 | Question: 25

• edited by
0 votes
0 votes

​​​​​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

  1. $0.20$
  2. $0.17$
  3. $0.50$
  4. $0.83$
• edited by

Please log in or register to answer this question.

← PreviousNext →
← Previous in categoryNext in category →
Answer:

Related questions

1 answers
1 votes
admin asked Feb 16
GATE Mechanical 2024 | GA Question: 2
​​​Find the odd one out in the set: $\{19,37,21,17,23,29,31,11\}$ $21$ $29$ $37$ $23$
​​​Find the odd one out in the set: $\{19,37,21,17,23,29,31,11\}$$21$$29$$37$$23$
0 answers
0 votes
admin asked Feb 16
GATE Mechanical 2024 | GA Question: 3
​​​​​In the following series, identify the number that needs to be changed to form the Fibonacci series. $1,1,2,3,6,8,13,21, \ldots$ $8$ $21$ $6$ $13$
​​​​​In the following series, identify the number that needs to be changed to form the Fibonacci series.$1,1,2,3,6,8,13,21, \ldots$$8$$21$$6$$13$
0 answers
0 votes
admin asked Feb 16
GATE Mechanical 2024 | GA Question: 4
​​The real variables $x, y, z$, and the real constants $p, q, r$ satisfy \[ \frac{x}{p q-r^{2}}=\frac{y}{q r-p^{2}}=\frac{z}{r p-q^{2}} \] Given that the denominators are non-zero, the value of $p x+q y+r z$ is $0$ $1$ $p q r$ $p^{2}+q^{2}+r^{2}$
​​The real variables $x, y, z$, and the real constants $p, q, r$ satisfy\[\frac{x}{p q-r^{2}}=\frac{y}{q r-p^{2}}=\frac{z}{r p-q^{2}}\]Given that the denominators are...
Voting & Accepting an answer helps improve the community
Link Copied!