Statistics › Section E · Continuous random variables › Topic E.3

The exponential distribution

The Poisson topic counted events in a window; this topic measures the gaps between them. When events occur randomly at a constant rate, the waiting time for the next one follows the exponential distribution - the continuous twin of the geometric.

In this topic

  • Waiting for the next event
  • The exponential model and its rate
  • The survival formula
  • Memorylessness
  • The Poisson connection
  • Worked example: the help desk's gaps
  • Worked example: the fresh-copy property
  • Percentiles and the median
  • Common mistakes to avoid
  • Key takeaways

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