We derive the exponential distribution from first principles. Then we apply it to some real-world data. Finally, we explain why it is memoryless.
Probability and statistics book: https://a.co/d/7k259eb
Website with free preprint, videos, slides and solutions to exercises: https://www.ps4ds.net
Slides for this video: https://github.com/cfgranda/ps4ds/blob/main/slides/continuous%20variables/exponential_handout.pdf
Code:
https://github.com/cfgranda/ps4ds/blob/main/continuous_variables/call_center_interarrival_times.ipynb