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If the number of occurrences per interval of time follows a Poisson distribution, then the length of time between occurrences follow an exponential distribution. Prove

If the number of occurrences per interval of time follows a Poisson distribution, then the length of time between occurrences follow an exponential distribution.image text in transcribed

Prove the following relationship between Poisson and exponential Distributions: If the number of occurrences per interval of time follows a Poisson distribution, then the length of time between occurrences follow an exponential distribution

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