Credit Hours - 3
Objective
This course introduces students to the concept of probability and statistics for engineering application.
Content
Topics include probability functions axioms and rules, counting techniques, conditional probability, independence, and mutually exclusive events. Discrete Random Variable: Expectation and variance, Binomial distribution, Hypergeometric distribution, Poisson distribution, the relationship between Poisson and Binomial. Continuous Random Variable: Percentiles and cumulative distribution function, expectation and variance, uniform distribution, normal distribution, exponential distribution, and other distributions. Joint Distributions. Covariance and Correlation. Sampling Distributions: Distributions of statistics, central limit theorem, samples from normal distribution (t-distribution, X2 distribution, and F-distributions). Estimation: Common point estimators, interval estimators. Hypothesis Testing. Introduction to Regression Analysis. Engineering applications in quality control, process control, communication systems and speech recognition.
Reading list
- Edwards, R. V. (2006). Processing random data: Statistics for engineers and scientists. World Scientific Publishing.
- Montgomery, D. C. & Runger, G.C. (2018). Applied Statistics and Probability for Engineers, 7th Edition. Wiley.
- Navidi, W. (2009). Principles of Statistics for Engineers and Scientists. McGraw-Hill Education.
- Ross, S. M. (2014). Introduction to Probability and Statistics for Engineers and Scientists, 5th Edition. Academic Press.
- Song, T.T. (2007). Fundamentals of Probability and Statistics for Engineers, 1st edition. Wiley.