GeoGebra Guide to Exponential Distribution Probabilities

This GeoGebra example demonstrates how to calculate and visualize probabilities for the exponential distribution (waiting-time model). It helps learners see how event probability changes with a threshold time, making the behavior intuitive through graphs. The key mathematical concepts include the exponential probability model, the probability density function (PDF), the cumulative distribution function (CDF), the survival function (1−CDF), and summary quantities such as the median (a key threshold where the CDF reaches 0.5). Construction-wise, since no explicit GeoGebra command list is provided, the typical workflow is to define the exponential distribution expressions inside GeoGebra as functions, compute quantities like P(X≤t) and/or P(X>t) for selected parameters, and plot the resulting curves on coordinate axes; optionally, use intersections or markers to highlight specific values such as the median or where a chosen probability level occurs. Suitable for upper secondary through introductory college probability/statistics classes, as well as for modeling-oriented instruction and self-study.