Data science courses often show you a perfect world. They give you clean data that fits simple patterns. But in the real world? Data is a mess. It's often a mix of different patterns, like our data here, which is a blend of Poisson and Negative Binomial distributions. This notebook is about showing you what real data actually looks like and how to handle it.

The main point isn't just to show you a mixture pattern. It's to reveal that the tidy examples in textbooks don't reflect reality. You learn basic models, but what happens when your data doesn't fit? This "scare" dataset is your rude awakening. Try plotting a simple boxplot on this mixture data, and you'll see it tells you almost nothing useful. It shows how real distributions are often more complicated, needing more than just a simple, off-the-shelf statistical tool.