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I'm trying to figure out what kind of probability function would be appropriate for the following problem (my goal is to program this in Python, for what its worth).

Consider a snake, and the number of molts it has in one year as a juvenile. On average, it molts bi-monthly. The probabilty of molting right after a molt ~0%, and increases slowly up to the bi-monthly point, where I'd expect the mean to be, and some to molt within a month after that.

I envision something like the probit model, but not sure if thats something I can draw random numbers from?

I am looking to throw this into a simulation, so something I can draw some sort of random number from to determine a "YesMolt", "NoMolt" each day for the snake.

Does that make sense?

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    Sounds like you can use a survival analysis model. Hope it helps https://en.m.wikipedia.org/wiki/Survival_analysis2017-01-22

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