Prompt
"Generate an image representing the Poisson distribution, a probability distribution in statistics and probability theory, often used to model the number of events occurring in a fixed interval. The image should feature a graph or chart showcasing the distribution's characteristic shape, with the x-axis representing the number of events (non-negative integers) and the y-axis representing the probability of each event. Incorporate the parameter lambda (λ) in the graph, highlighting its role as the average rate of occurrence. The style should be formal and technical, suitable for an academic or educational context, with a color scheme that is clear and easy to read. Include a subtle background element that nods to the distribution's applications in fields like queueing theory, telecommunications, traffic flow, biology, insurance, and physics."
