Interpreting ECDFs and the story

While a more detailed analysis of distributions is often warranted for careful analyses, you can already get a feel for the distributions and the story behind the data by eyeballing the ECDFs. Which of the following would be the most reasonable statement to make about how the active bout lengths are distributed and what kind of process might be behind exiting the active bout to rest?

If you need a refresher, here are videos from Statistical Thinking I about stories behind probability distributions.

Possible Answers

The bout lengths appear Normally distributed, which implies that the fish tend to have a set bout length.
The bout lengths appear Exponentially distributed, which implies that exiting an active bout to rest is a Poisson process; the fish have no apparent memory about when they became active.
The bout lengths appear Poisson distributed, which implies that exiting an active bout to rest is a Poisson process; the fish have no apparent memory about when they became active.

Exercise

Interpreting ECDFs and the story

Instructions

Possible Answers