GATE EC 2014 Set 4 — Question 32

MCQ+1 / -0.33EasyPoisson DistributionStatistics & DistributionsEngineering Mathematics

Engineering Mathematics → Statistics & Distributions → Poisson Distribution

Last updated 5 September 2026

Question

If calls arrive at a telephone exchange such that the time of arrival of any call is independent of the time of arrival of earlier or future calls, the probability distribution function of the total number of calls in a fixed time interval will be

Correct answer (A) Poisson Solution The Poisson distribution models the number of events occurring in a fixed interval of time or space if these events occur with a known constant mean rate and independently of the time since the last event. Since the arrival of calls is independent of earlier or future calls, the total number of calls in a fixed time interval follows a Poisson distribution. Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.

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Correct answer (A) Poisson Solution The Poisson distribution models the number of events occurring in a fixed interval of time or space if these events occur with a known constant mean rate and independently of the time since the last event. Since the arrival of calls is independent of earlier or future calls, the total number of calls in a fixed time interval follows a Poisson distribution.

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