MAK 211E - Probability and Statistics

Course Objectives

Inform and teach to Mechanical and Manufacturing Engineering students the main probability and statistical methods with techniques for gaining interpretation of their interesting area data.

Course Description

Introduction, samples, populations, and the role of probability. Sample mean, median, range and standard deviation. Graphical plots. Probability, sample space, events, Venn diagram, multiplication rule, permutation, and combination. Probability of an event, conditional probability, Bayes’ rule. Discrete and continuous data. Random variables, discrete and continuous probability distributions, joint probability distributions. Mean, variance, covariance and correlation of random variables. Some continuous and discrete probability distributions. Normal distribution, area under the Normal Curve and its applications. Fundamental sampling distributions, central limit theorem. Estimation. Maximum likelihood estimation. Testing a statistical hypothesis. Simple linear regression and correlation coefficient. Design of Experiments. Statistical Quality Control.