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Question

If calls arrie at a telephone exchange such that the time of interval 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

A
Poisson
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B
Gaussian
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C
Exponential
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D
Gamma
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Solution

The correct option is A Poisson
The number of phone calls in a fixed time interval is discrete random variable. & poisson distribution is discrete probability distribution and remaining are continuous probability distributions.

Hence, correct option is (a)

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