Lemma
EasyContinuous distributions
OpenStax, Statistics §5.3 The Exponential Distribution (Optional) · Try It 7 · Probability · Continuous distributions

The Exponential Distribution (Optional) · Try It 7

In a small city, the number of automobile accidents occur with a Poisson distribution at an average of three per week.

(a) Calculate the probability that at most two accidents occur in any given week.
(b) What is the probability that there are at least two weeks between any two accidents?

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OpenStax, Statistics · §5.3 The Exponential Distribution (Optional) · Try It 7

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