I was watching "Total time spent watching this video" video, and had a basic question. How does one tell guesstimate that there's a hard lower bound on a quantity. ie. Video Length is at least 0, because negative watch times are unphysical? I know the specified distribution in this case is very narrow (the video lasting between -1 and 0 minutes has probability ~0.000032). But the answer does come out to be 26±32, whi…
Right now the main distribution types are normal and uniform. In the video, I showed normal distributions, which have long tails in both directions.
In this case, a normal distribution isn't really correct, because, as you noted, being less than 0 is exceedingly unlikely.
I believe the correct way to deal with this is to use a lognormal distribution or something that has 0 chance of being less than 0. I don't yet have a simple way of doing this, but it's definitely on the agenda.