Upon successful completion of the course, the students will have a good understanding of the fundamental principles of probability and probability distributions of random variables, as well as their application to problems of engineering. Further, they will be able to do the basic statistical analysis of data of one and two quantities (random variables) in engineering problems. Specifically, they will be able to estimate main statistical characteristics of the variable of interest, such as the mean and variance, reporting the estimation accuracy, as well as the (linear) correlation and regression of two variables of interest.
Course Content (Syllabus)
Probability and statistics with mechanical applications. Fundamental concepts in probability. Conditional probability, independence and related conepts. Random variables and probability distribution functions. Properties of random variables. Probability distributions for discrete and continuous variables. Functions of random variables. Descriptive statistics. Parameter estimation. Correlation and simple linear regression.