Visual guide to common probability distributions with their properties and use cases. Normal (Gaussian) Distribution Symmetric bell curve - most common distribution in nature. $$ f(x) = \frac{1}{\sigma\sqrt{2\pi}} e^{-\frac{(x-\mu)^2}{2\sigma^2}} $$ Mean: $\mu$ Variance: $\sigma^2$ Symmetric around mean 68-95-99.7 rule …