Prompt

Create an image representing a location-scale family of statistical distributions, depicted as a collection of curves on a graph, each curve illustrating a different distribution (such as normal, Cauchy, Laplace, and logistic) with varying location and scale parameters, set against a backdrop that subtly suggests concepts of probability theory and statistics, such as a faint image of a bell curve or statistical graphs. The curves should be in different colors to represent different distributions, and there should be annotations or legends indicating the role of location (μ) and scale (σ) parameters in transforming the distributions. The style should be technical and scientific, akin to illustrations in academic textbooks on statistics and probability.

Image by stabilityai/stable-diffusion-3.5-large-turbo