Prompt

"Generate an image representing the convergence of a binomial distribution to a Poisson distribution as n approaches infinity and p approaches zero, with the product np approaching a finite value μ. Depict this as a 3D graph with a sequence of curves showing the binomial distribution (in a warm color) gradually transforming into a Poisson distribution (in a cool color), with the x-axis representing the number of successes and the y-axis representing the probability density. Include a subtle hint of a limit condition in the background, such as a faint image of a mathematical equation or a symbolic representation of infinity."

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