Quantitative Techniques: Theory and Problems

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RELATIONSHIP BETWEEN POISSON PROCESS AND EXPONENTIAL PROBABILITY DISTRIBUTION

If the number of arrivals in a time interval of length (t) follows a Poisson Process, then corresponding interarrival time follows an 'Exponential Distribution'.
If the interarrival times are independently, identically distributed random variables with an exponential probability distribution, then the number of arrivals in a time interval of length (t) follows a Poisson Process with arrival rate identical with parameter of the Exponential Distribution.

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