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Luke_A_Somers comments on Punctuality - Arriving on Time and Math - Less Wrong Discussion
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I'd expect it to be short-tailed on the 'early' end and long-tailed on the 'late' end. For instance, missing a connection can throw you off by half an hour, and there's no symmetric gain available. In parts of a problem that are like this, it's better to look at the frequencies of the various cases than a continuous distribution.