This course provides an introduction to probability theory, random variables and the rudimentary principles and practice in applied statistics. The goal is to expose students to analytical and numerical tools, including a statistical software application to design experiments to effectively and efficiently solve real-world engineering problems.  Students will explore the application of statistical procedures to describe real sets of data, what statistical tests mean in terms of practical application, how to evaluate the validity of the assumptions behind statistical tests, and what to do when statistical assumptions have been violated. The course provides thorough explanations and insightful examples that equips the student with a firm foundation in statistical concepts, as well as the tools to apply them to practical problems facing the world.