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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

1. Poisson
2. Gaussian
3. Exponential
4. Gamma

Correct answer: Poisson

Solution

The Poisson distribution is appropriate here because it models the number of events (calls) occurring in a fixed interval of time when these events happen independently and at a constant average rate.

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