The document describes various probability distributions that can arise from combining Bernoulli random variables. It shows how a binomial distribution emerges from summing Bernoulli random variables, and how Poisson, normal, chi-squared, exponential, gamma, and inverse gamma distributions can approximate the binomial as the number of Bernoulli trials increases. Code examples in R are provided to
![関数型プログラミングの今昔(仮)](https://cdn-ak-scissors.b.st-hatena.com/image/square/d7c9597692828e1b20c2f0bae9e183aa7d27c513/height=288;version=1;width=512/https%3A%2F%2Fcdn.slidesharecdn.com%2Fss_thumbnails%2F120901fpkey-120901011916-phpapp02-thumbnail.jpg%3Fwidth%3D640%26height%3D640%26fit%3Dbounds)