Lecture notes on probability and statistics
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Date
2025-04-29
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
MOHAMED BOUDIAF UNIVERSITY OF M'SIIA
Abstract
This document serves as a valuable resource for engineering students seeking to gain
a deep understanding of fundamental concepts in probability and statistics. It covers
statistical series for both one and two variables, enabling rigorous data analysis and
interpretation.
The first part focuses on one-variable statistical series, emphasizing central tendency
indicators (mean, median, mode) and dispersion measures (variance, standard
deviation). The second part addresses two-variable statistical series, introducing key
concepts such as covariance and correlation, which are essential for establishing
relationships between different quantities.
Furthermore, the document explores probability theory in a finite framework, providing
students with the necessary tools to quantify uncertainty and model random
phenomena. Concepts such as conditional probabilities and event independence are
also developed.
Finally, special attention is given to random variables, whether discrete or continuous,
as well as their associated probability distributions, including the binomial, Poisson,
and normal distributions. Through this pedagogical approach, engineering students
acquire the foundational knowledge needed to model and analyze complex
phenomena while developing a strong mathematical intuition.
Description
Keywords
One-variable statistical series, mean, median, mode, variance, standard deviation, two-variable statistical series, covariance and correlation, probability theory, random variables, probability distributions