2025-02-202025-02-202024-08-01https://repositorio.ifal.edu.br/handle/123456789/869The present work aims to explore the applications of continuous random variables in real problems, addressing fundamental concepts of probability and their distributions. The study begins with an introduction to the concept of probability, events and sample space, moving on to the additive and multiplicative rules that govern the combination of events. During the work, random variables and their probability distributions are discussed, focusing on the differences between discrete and continuous distributions. Particular attention is paid to continuous random variables. In this context, concepts such as the probability density function, expectation, variance and standard deviation are presented, which are essential for the analysis of these variables. The Study explores three continuous probability distributions: the Uniform, the Normal and the Exponential distribution, detailing their characteristics and behavior in different scenarios. In the last part of the work, practical applications of these distributions in real contexts are presented, demonstrating the usefulness of continuous random variables in modeling phenomena in various areas such as finance, engineering, data science, among others.ptMatemáticaVariáveis Aleatórias Contínuas – AplicaçõesDistribuições de ProbabilidadeProbabilidadeProbabilityContinuous Random VariablesTrabalho de Conclusão de CursoCIENCIAS EXATAS E DA TERRA::MATEMATICA