Approximating Binomial to Poisson
A majestic bird can lay many, many eggs to feed the village. Suppose there are two possible outcomes for each egg: shiny or not shiny. (Shiny eggs make great frittatas!) We assume 100 eggs are laid in an identical and independent manner, and the probability of getting a shiny egg is constant at 4%.
Can we approximate the Binomial distribution with Poisson?