This course primarily introduces the principles of probability and statistics and their applications in engineering. Throughout the course, students will utilize ChatGPT as a learning tool to support self-directed learning, helping them actively explore problem-solving methods during the learning process. (1) Random Events, Set Theory, Mathematics of Probability (2) Probability Distribution of Random Variable (3) Mathematical Expectation (4) Common Probabilistic Models (5) Function of Random Variables (6) Random Sampling (7) Estimation (8) Test of Hypotheses (9) Linear Regrassion and Correlation