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## Discrete to Continuous

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**Discrete to Continuous**In each step each bar in the histogram is split into two bars.**Now one final step, to an uncountably large number of bars,**each infinitely narrow, yielding a continuous, uniform distribution ranging from A to B.**Now I do the same but I start with a binomial distribution**with p = .5 and three bars. • Note that the bars are not all of equal height. • Each time I split one, I lower the height of the tail-wards one more than the center-wards one.**Now one final leap to a continuous (normal) distribution**with an uncountably large number of infinitely narrow bars.