Department of Fundamental Education in Science and Technology

https://www.univ-soukahras.dz/en/dept/st

Lecturer	Mohamed Benrabia
Information	Bachelor - Second Year : Electrotechnology Department of Fundamental Education in Science and Technology Website : https://www.univ-soukahras.dz/en/module/2198 Semester : S3 Unit : UEM 2.1 Credit : 4 Coefficient: 2
Content	Part A: Statistics Chapter 1: Basic Definitions (1 week) A.1.1 Concepts of population, sample, variables, modalities A.1.2 Different types of statistical variables: qualitative, quantitative, discrete, continuous. Chapter 2: Univariate Statistical Series (3 weeks) A.2.1 Frequency, Percentage. A.2.2 Cumulative frequency. A.2.3 Graphical representations: bar chart, pie chart, stem-and-leaf plot. Frequency polygon (and relative frequency polygon). Histogram. Cumulative curves. A.2.4 Measures of central tendency. A.2.5 Measures of dispersion: range, variance and standard deviation, coefficient of variation. A.2.6 Measures of shape. Chapter 3: Bivariate Statistical Series (3 weeks) A.3.1 Data tables (contingency table). Scatter plot. A.3.2 Marginal and conditional distributions. Covariance. A.3.3 Linear correlation coefficient. Regression line and Mayer\\\\\\\\\\\\\\\'s line. A.3.4 Regression curves, regression band, and correlation ratio. A.3.5 Functional fitting. Part B: Probability Chapter 1: Combinatorial Analysis (1 Week) B.1.1 Arrangements B.1.2 Combinations B.1.3 Permutations. Chapter 2: Introduction to Probability (2 weeks) B.2.1 Algebra of events B.2.2 Definitions B.2.3 Probabilistic spaces B.2.4 General probability theorems Chapter 3: Conditioning and Independence (1 week) B.3.1 Conditioning B.3.2 Independence B.3.3 Bayes\\\\\\\\\\\\\\\' theorem Chapter 4: Random Variables (1 Week) B.4.1 Definitions and Properties B.4.2 Cumulative distribution function B.4.3 Mathematical expectation B.4.4 Covariance and Moments Chapter 5: Usual Discrete and Continuous Probability Distributions (3 Weeks) Bernoulli, binomial, Poisson, ...; Uniform, normal, exponential, ...
Evaluation	Continuous control: 40%; Final exam: 60%.