Mathematics · Queueing Theory
Consider an M/M/1 queue in which customers arrive according to a Poisson process with rate λ = 3 and successive service times are independent exponential random variables having a mean of 1/9. Let Pn be the long-run probability that there are exactly n customers in the system. Which of the following statements is true?
- 1The average amount of time that a customer spends in the system is 13
- 2The average number of customers in the system is 1
- 3P1 = 29✓
- 4P0 = 13
Correct answer
P1 = 29
Download Single Question PDF
Save this question and verified answer as a clean study sheet with live clickable link.
Share with Friends & Study Groups
Challenge your peer aspirants on WhatsApp or Telegram to solve this question!
Preparing for Mathematics?
Practice full-length Mathematics mock tests with real exam timers, instant score analysis, and all-India ranking.
Want more practice questions on Queueing Theory?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Mathematics · Queueing Theory