Normal Distribution Dynamic Demo & Probability Calculation

This GeoGebra example dynamically visualizes the normal distribution's probability density function, allowing users to adjust the mean and standard deviation via interactive sliders. It demonstrates how the curve shifts and spreads, and uses definite integrals to calculate probabilities over user-defined intervals. Core mathematical concepts include the normal distribution, probability density function, cumulative distribution, mean, variance, and the geometric interpretation of definite integrals in probability. The construction leverages GeoGebra commands such as Normal (to generate the PDF), Integral (to compute areas/probabilities), Intersect (to find key points), along with Textfield, Lowerbound, Upperbound, Mean, SD, and various input objects for real-time parameter control. It is suitable for high school statistics, pre-calculus, or university-level introductory probability and statistics courses, providing an intuitive platform for exploring parameter effects and integral-based probability calculations.