Foundations of Engineering Probability and Statistics

Engineering decisions rely on analyzing uncertainty and making sense of complex data. This text-based course introduces you to the essential mathematical frameworks needed to model randomness and interpret engineering measurements. By the end of this course, you will transition from guessing to using precise mathematical models, enabling you to evaluate risks, predict system behaviors, and make data-driven engineering decisions with confidence. What you'll learn: - Understand fundamental probability concepts, including sample spaces, events, and probability rules. - Analyze discrete and continuous random variables and their probability distributions. - Apply joint distributions and conditional probability to multi-variable engineering systems. - Calculate key statistical measures like mean, variance, and covariance from engineering datasets. - Evaluate engineering risk and reliability using modern statistical analysis frameworks. The course begins with foundational definitions of probability before guiding you through probability distributions and data analysis techniques. Through structured readings and step-by-step written exercises, you will learn to apply these mathematical tools to real-world engineering scenarios. Designed for engineering students and technical professionals new to probability and statistics, this course requires only a basic background in algebra and calculus. Start reading today to build a solid mathematical foundation for your engineering career.