Department of Fundamental Education in Science and Technology

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

Lecturer	Mohamed Benrabia
Information	Bachelor - 2nd Year Electro-Mecanical Engineering Department of Fundamental Education in Science and Technology Website : https://www.univ-soukahras.dz/en/module/3004 Semester : S3 Unit : UEM 2.1 Credit : 4 Coefficient: 2
Content	Part A: Statistics Chapter 1: Basic Definitions A.1.1 Notions of population, sample, variables, modalities A.1.2 Different types of statistical variables: qualitative, quantitative, discrete, continuous. Chapter 2: One-variable statistical series A.2.1 Number, Frequency, Percentage. A.2.2 Cumulative number, Cumulative frequency. A.2.3 Graphical representations: bar chart, circular chart, bar chart. Polygon of numbers (and frequencies). Histogram. Cumulative curves. A.2.4 Position characteristics A.2.5 Dispersion characteristics: extent, variance and standard deviation, coefficient of variation. A.2.6 Shape characteristics. Chapter 3: Statistical series in two variables A.3.1 Data tables (contingency table). A cloud of dots. A.3.2 Marginal and conditional distributions. Covariance. A.3.3 Linear correlation coefficient. Regression line and Mayer line. A.3.4 Regression curves, regression corridor and correlation ratio. A.3.5 Functional fit. Part B: Probabilities Chapter 1: Combinatorial Analysis B.1.1 Arrangements B.1.2 Combinations B.1.3 Permutations. Chapter 2: Introduction to Probability B.2.1 Algebra of events B.2.2 Definitions B.2.3 Probabilized spaces B.2.4 General probability theorems Chapter 3: Conditioning and independence B.3.1 Packaging, B.3.2 Independence, B.3.3 Bayes formula. Chapter 4: Random variables B.4.1 Definitions and properties, B.4.2 Distribution function, B.4.3 Mathematical expectation, B.4.4 Covariance and moments. Chapter 5: Usual discrete and continuous probability laws Bernoulli, binomial, Poisson, ... ; Uniform, normal, exponential, ...
Evaluation	Continuous monitoring: 40%; Final exam: 60%.