Binomial Distribution Calculator with Visual Interval Selection

This example demonstrates how the binomial distribution changes with the number of trials and success probability, visualizing the discrete probability mass at each integer outcome and using min/max selection to highlight interval-related results (e.g., confidence/tail bounds depending on how the thresholds are set). The main mathematical ideas are the binomial distribution PMF, discrete probability distributions, and interval boundary selection via comparisons of probabilities or threshold values. Construction in GeoGebra uses Textfield to display labels (BinomialDist), Polygon to build the graphical representation of the distribution, Sequence to generate the sets of points/indices for plotting, and Min/Max to compute and update boundary choices from the computed probabilities. Key objects include the parameter inputs such as n and p, plus intermediate quantities (e.g., q1, q2 and other computed variables) that feed into the interval selection logic and update the visualization interactively. Suitable for high school through early undergraduate probability & statistics, especially for teaching binomial distributions, interactive parameter studies, and confidence-interval style reasoning.