The impact of mobile app-based learning and AI on understanding discrete random variables

This study analyzes the teaching of discrete random variables using the mobile app "PROBABILITY DISTRIBUTIONS" and responses generated by MetaIA Artificial Intelligence. 95 students from CETIS 167, who are in the sixth semester of probability and statistics, participated. It began with the explanation of the Bernoulli distribution to understand dichotomous events. Later, the students used the app to calculate probabilities with this distribution and explore concepts related to replacement and without replacement, connected to the hypergeometric and Bernoulli distributions, respectively. In addition, the Poisson distribution was addressed as a stochastic process, using the app to model probability mass functions. In the final stage, the students solved a four-item evaluation, using both the app and MetaIA. The results indicated that the students achieved a better interpretation of the problems by focusing on conceptual analysis rather than manual calculations. MetaIA showed strengths in classifying and breaking down exercises according to distributions, although it presented errors in mathematical calculations due to the lack of precision in the integration of sources. It is concluded that the combination of Learning and Knowledge Technologies with Artificial Intelligence can facilitate the resolution of real problems and promote a deeper understanding in students.