GATE ME 2014 Set 1 — Question 28

MCQ+1 / -0.33EasyPoisson DistributionStatistics & DistributionsEngineering MathematicsQueuing Models (M/M/1)Operations ResearchIndustrial Engineering

Engineering Mathematics → Operations Research → Poisson Distribution

Last updated 5 September 2026

Question

The jobs arrive at a facility, for service, in a random manner. The probability distribution of number of arrivals of jobs in a fixed time interval is

Correct answer (B) Poisson Solution In queuing theory and stochastic processes, if events (like job arrivals) occur randomly and independently at a constant average rate, the number of events occurring in a fixed time interval follows a Poisson distribution . The time between consecutive arrivals follows an exponential distribution. Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.

Review answer and solution without JavaScript

Interactive answer checking needs JavaScript. The published solution is available below.

Correct answer (B) Poisson Solution In queuing theory and stochastic processes, if events (like job arrivals) occur randomly and independently at a constant average rate, the number of events occurring in a fixed time interval follows a Poisson distribution . The time between consecutive arrivals follows an exponential distribution.

Continue learning with Success Tracker

Use Success Tracker to ask about the reasoning, then try another GATE ME question to check your understanding.

AI-powered practice· Unlimited practice on eligible plans

PYQs with solutions: Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
Practice that adapts: Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
AI doubt support: Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.

Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.

This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.