This is a service course that is intended for students whose mathematical background is at least Calculus or its equivalent. The course follows a theoretical approach with significant examples of formal mathematical proofs. In addition, fundamental concepts are presented with intuitive examples along with practical examples using statistical software. The course goal is to deliver an understanding of elementary statistics, fundamental concepts in probability theory, random variables, some discrete and continuous probability distributions, expectation, cumulative distribution function, probability mass function, and essential techniques of parameter estimation, tests of hypothesis, and regression analysis. After taking this course, students will be able to use a statistical package in performing data visualization, analysis, and inferences for small and large sample datasets.