Postgraduate certificate Chance and Probability

The increasing complexity of systems and the enormous amount of available data make it necessary to use probabilistic techniques to make optimal choices. In that sense, decision making based on uncertainty is a very common practice in Engineering. Therefore, probability theory provides a theoretical framework for dealing with uncertainty and variability, which is essential for success. For this reasonTECH presents this program as a response to the current needs of the engineer in a context in which data analysis and statistics have become essential tools for this task. Therefore, the graduate will focus their study on probabilistic models, conditional probability and random variables, among other relevant aspects under a solid 100% online format.

University certificate

duration

6 weeks

Modality

Online

Schedule

At your own pace

Exams

Online

start date

Credits

6 ECTS

financing up to

3 months

Price(first year)

See price

The world's largest faculty of engineering”

Introduction to the Program

You will know how to handle uncertainty situations and make optimal decisions in any engineering field thanks to TECH's Postgraduate certificate in Chance and Probability”

According to data from the World Economic Forum's report "The Future of Jobs", skills related to data science, including statistics and probability, will be increasingly in demand in the job market in the coming years. Today, data analysis and statistics have become indispensable tools for decision making in virtually every field of engineering. Furthermore, today's systems are becoming increasingly complex, and the large amount of data available makes it necessary to use probabilistic techniques to make better choices.

It is in this context that the Postgraduate certificate in Chance and Probability responds to the current needs of the engineer. This academic program focuses on providing students with rigorous and up-to-date education in probabilistic models, conditional probability, random variables, distributions, central limit theorem, among other relevant aspects. All of this with the objective that students acquire the skills and knowledge necessary to successfully address the challenges of an increasingly complex and changing environment.

It should be noted that the program is developed in a 100% online format and uses the Relearning methodology. This means that students can adapt the pace of learning to their needs and time availability, which is especially important for those who combine their studies with work or have other responsibilities that prevent them from attending on-site classes.

Improve your knowledge in probability and chance with the most complete syllabus in the current digital academic panorama”

This Postgraduate certificate in Chance and Probability contains the most complete and up-to-date program on the market. The most important features include:

The development of case studies presented by Applied Statistics experts
The graphic, schematic and eminently practical contents with which it is conceived provide sporting and practical information on those disciplines that are essential for professional practice
Practical exercises where the self-assessment process can be carried out to improve learning
Its special emphasis on innovative methodologies
Theoretical lessons, questions to the expert, debate forums on controversial topics, and individual reflection assignments
Content that is accessible from any fixed or portable device with an Internet connection

Delve into the central limit theorem and other important tools with TECH's comprehensive Postgraduate certificate in Chance and Probability syllabus”

Become an expert in distributions and random variables with TECH's Postgraduate certificate in Chance and Probability”

Syllabus

The main objective of the syllabus design of this program is to provide students with the necessary skills to successfully face the challenges presented by a changing and competitive environment. This way, they will be able to improve their ability to make optimal decisions in situations of uncertainty. In addition, the program is developed in a convenient and flexible 100% online format and features a large amount of didactic materials in different audiovisual supports for an elite education.

Expand your knowledge in statistics and data analysis with the Postgraduate certificate in Chance and Probability from TECH”

Module 1. Chance and Probability

1.1. Probabilistic Models

1.1.1. Introduction
1.1.2. Random Phenomena
1.1.3. Probability Spaces
1.1.4. Properties of Probability
1.1.5. Combinatorial

1.2. Conditional Probability

1.2.1. Definition of Conditional Probability
1.2.2. Event Independence
1.2.3. Properties of Event Independence
1.2.4. The Total Probability Formula
1.2.5. Bayes' Formula

1.3. One-Dimensional Random Variables

1.3.1. Concept of One-Dimensional Random Variables
1.3.2. Operations with Random Variables
1.3.3. Distribution Function of a One-Dimensional Random Variable. Properties
1.3.4. Discrete, Continuous and Mixed Random Variables
1.3.5. Random Variables Transformation

1.4. Characteristics of One-Dimensional Random Variables

1.4.1. Mathematical Expectation. Properties of Expectation Operators
1.4.2. Moments with Respect to the Origin. Moments with Respect to the Mean
1.4.3. Relations between Moments
1.4.4. Measures of Position, Dispersion and Shape
1.4.5. Chebyshev's Theorem

1.5. Discrete Distributions

1.5.1. Degenerate Distribution
1.5.2. Uniform Distribution on n Points
1.5.3. Bernoulli’s Distribution
1.5.4. Binomial Distribution
1.5.5. Poisson distribution
1.5.6. Negative Binomial Distribution
1.5.7. Geometric Distribution
1.5.8. Hypergeometric Distribution

1.6. Normal Distribution

1.6.1. Introduction
1.6.2. Characteristics of Normal Distribution
1.6.3. Representation of Normal Distribution
1.6.4. Approximation of a Binomial by Normal Distribution

1.7. Other Continuous Distributions

1.7.1. Uniform Distribution
1.7.2. Gamma Distribution
1.7.3. Exponential Distributions
1.7.4. Beta Distribution

1.8. Two-Dimensional Random Variables

1.8.1. Introduction
1.8.2. Two-Dimensional Random Variables
1.8.3. Discrete Two-Dimensional Random Variables. Mass Function
1.8.4. Continuous Two-Dimensional Random Variables. Density Function

1.9. Two-Dimensional Random Variables Distributions

1.9.1. Joint Distribution Function. Properties
1.9.2. Marginal Distributions
1.9.3. Conditional Distributions
1.9.4. Independent Random Variables

1.10. Laws of Large Numbers and Central Limit Theorem

1.10.1. Sequence of Random Variable
1.10.2. Convergence of Sequences of Random Variables. Relations between the Different Types of Convergence

1.10.2.1. Pointwise Convergence
1.10.2.2. Almost Certain Convergence
1.10.2.3. Convergence in Probability
1.10.2.4. Convergence in Law or Distribution

1.10.3. Large Number Laws
1.10.4. Central Classical Limit Problem

Learn at your own pace and from anywhere thanks to the 100% online methodology of the program”

Postgraduate Certificate in Chance & Probability

Chance and probability are fundamental concepts in engineering and many other disciplines. In engineering, applications of chance and probability are made in various areas such as planning, quality control, system and process design, and risk management, among others. At TECH Global University we have this specialized program designed to provide knowledge and skills to evaluate and manage the uncertainty and risk associated with different factors in different areas such as production, quality, design, planning, risk management, etc.

In engineering, the applications of probability are broad and are used in a variety of areas. For example, in product design, probability is used to assess product reliability and performance and to determine the probability of failure. In project planning, probability is used to assess project schedule and determine the probability of delays. In our Postgraduate Certificate, you will learn the practical handling of mathematical concepts of chance and probability. Likewise, you will delve into topics such as chance, probability and its application in various fields. It is an excellent option for those who wish to acquire specialized skills and develop a successful career in this field.