This is a classic illustration of the Central Limit Theorem--in fact, the example is even on the Wikipedia page [0]. The distribution tends towards a normal dis

This is a classic illustration of the Central Limit Theorem--in fact, the example is even on the Wikipedia page [0]. The distribution tends towards a normal distribution as n increases (though to actually take the limit you need to rescale). [0] https://en.wikipedia.org/wiki/Central_limit_theorem#Applications_and_examples https://en.wikipedia.org/wiki/Central_limit_theorem#Applicat...