Discrete Probability Distributions and Examples Summary In this class, we will explore discrete probability distributions in depth, starting with their definition from continuous and discrete sample spaces. We will cover the five most well-known discrete probability distributions: Binomial (or Bernoulli), Poisson, Geometric, Negative Binomial, and Hypergeometric, each with examples demonstrating...
Domain, Range, and Graph - Proposed and Solved Summary: In this class, we practice how to determine the domain, range, and graph of algebraic functions through exercises and solved examples, highlighting the importance of practice to master these techniques. Learning Objectives: By the end of this class, the student will...
Continuous Probability Distributions SummaryIn this section, we will delve deeply into the concept of continuous probability distributions, highlighting the characteristics and uses of the five most well-known ones: the exponential distribution, the rectangular uniform distribution, the normal (Gaussian) distribution, the Weibull distribution, and the Gamma distribution. The mathematical formulas defining...
How to Calculate the Normal Distribution Using the Table? Summary In this class, we will address the topic of the normal distribution, one of the most common continuous probability distributions. We will analyze how a random variable X with parameters μ and σ can follow a normal distribution and how...
The Euclidean Space In this class, we explore the Euclidean space , its algebraic structure, and metric properties. You will learn about vector operations, the dot product, the norm, and the Euclidean distance, essential concepts in geometry and analysis. With clear explanations and intuitive examples, this material will help you...
Introduction to Ordinary Differential Equations This class offers a detailed exploration of the fundamental ideas that govern these equations and their applications in various fields. Beginning with an analysis of the nature of constant change in the world around us, basic concepts such as functions, derivatives, and their relationship with...
Algebra and Projections in Rn, Cross Product in Abstract:This series is the direct continuation of the series on the Euclidean Space of n dimensions. Here we will review some linear algebra concepts that help to better understand the n-dimensional Euclidean space, examine the concepts of projections of one vector onto...
What is an Ordinary Differential Equation (ODE)? Summary:In this class, we explore Ordinary Differential Equations (ODEs) of order k, starting with their definition and their representation in both normal and general form. Through concepts such as the Jacobian matrix and the Implicit Function Theorem, we build the foundation for understanding...
Indefinite Integrals and Basic Integration Techniques This class introduces the basic techniques to compute the most elementary indefinite integrals, as well as the properties of the integration operator. This includes polynomial, exponential, hyperbolic, and basic trigonometric integrals. Learning Objectives:By the end of this class, the student will be able to...
Statistical Simulations for Business and Industry Statistical Simulation for Business and Industry: The Normal Distribution as a Strategic Tool Discover the fascinating world of statistical simulations applied to various fields of commerce, business, and industry. In this article, we will explore four simulations, each addressing a different challenge: from optimizing...
