My friend asked me the following:
"If you were to have 2 separate games at different stakes. How would you model them together to combine into one distribution graph. Can you alter the smaller stakes game to be a bigger game with slightly bigger variance and merge graphs while averaging the standard deviation? Or is that just wrong."
I would say that that isn't statistically accurate, but a reasonable estimate. Also it doesn't take into consideration the volume played at each stake, how can you weight it.
I feel like not knowing how to answer this while holding a masters degree in statistics is criminal
;that was just so abstract though, but now I'm genuinely interested in wanting to know how to model this.