Stat 324 - Probability and Statistics for Engineers

Introduction to Sample space, Random events, Probability rules, Conditional probability, Baye’s rule
Definition of Random variables, Discrete and Continuous distribution
Definition of the mean (mathematical expectation) and the variance of a random variable. Mean and variance of a linear combination of independent random variables
Definition of Discrete distributions: Uniform, Binomial, Hyper geometric, Poisson
Definition of Continuous distributions: Uniform, Exponential, Normal
Sampling distributions of some sample statistics, the t-distribution
Emphasizing the concept of Estimation methods: Point estimation, Confidence interval estimation
Introducing the concepts involved in Testing Hypotheses. Hypotheses testing of a single Population parameter (mean, proportion, difference between two means and difference between two proportions of independent populations.Introducing the concept of simple linear correlation and linear regression