Probability Foundations for Electrical Engineers

Skip to main content

Product image

Probability Foundations for Electrical Engineers

Engineering Academy

Learn Without Limits: Free Engineering Courses

Rating 4 (6)

Course typeWatch to learn anytime

Duration 708 Min

Start Access anytime

Language English

Views81

FREE

Advanced course for professionals

Anytime Learning
Learn from Industry Expert
Career Option Guideline

Why enroll

Participants should join this course because it helps them build a strong and clear foundation in probability theory. The course explains concepts from first principles, which is essential for students who want to truly understand how probability works, not just apply formulas. It is especially useful for those planning careers or higher studies in machine learning, signal processing, communications, networks, and control systems, where probability plays a key role. By focusing on logic, proofs, and core ideas, the course improves analytical thinking and prepares learners for advanced research and real-world problem solving.

Opportunities that awaits you!

Certificate thumbnail

Earn a course completion certificate

Add this credential to your LinkedIn profile, resume, or CV. Share it on social media and in your performance review

Career opportunities

Course content

The course is readily available, allowing learners to start and complete it at their own pace.

Probability Foundations for Electrical Engineers

30 Lectures

708 min

Introduction
Preview
34 min
Cardinality
18 min
Countability
22 min
Uncountable sets-1
23 min
Uncountable sets-2
15 min
Probability spaces-Introduction
26 min
Probability spaces-Algebra
25 min
Probability spaces-σ-algebra
19 min
Probability spaces-Measurable space
31 min
Properties of probability measures
17 min
Continuity of probability measure
31 min
Discrete probability space-finite and countably infinite sample space
26 min
Discrete probability space-Uncountable sample space
18 min
Generated σ-algebra, Borel Sets
26 min
Borel sets
25 min
Uniform probability measure on Borel sets-Lebesgue measure
24 min
Carathéodory’s extension theorem
23 min
Lebesgue measure (contd)
26 min
Infinite coin toss model
25 min
Infinite coin toss model (Contd)
23 min
Conditional probability
16 min
Properties of conditional probability
33 min
Independence of events
17 min
Independence of σ-algebras
23 min
Borel-Cantelli Lemma 1
20 min
Borel-Cantelli Lemma 2
30 min
Random Variables
22 min
Random Variables (Contd)
24 min
Cumulative Distribution Function
23 min
Properties of CDF
23 min

Course details

This is a graduate-level course on probability theory for students who want to understand the subject deeply and clearly. It is especially helpful for students interested in areas like communications, networks, signal processing, machine learning, and control systems.Instead of focusing mainly on solving numerical problems or calculating probabilities, this course explains how probability theory is built from the ground up. Students will learn the basic rules (axioms) of probability and understand why important results are true by studying their proofs. Overall, the course helps learners develop a strong, logical foundation in probability rather than just learning formulas.

Source: NPTEL, NOC IIT Madras

Course suitable for

Automotive
Electrical
Engineering & Design
Project Management
Research & Developmnet

Key topics covered

Learn the core foundations of probability theory with a strong mathematical focus.
Understand sets, countability, and probability spaces from first principles.
Study how probabilities are defined, extended, and measured rigorously.
Learn about random variables and their different types.
Analyze multiple random variables and their relationships.
Understand expectation, integration, variance, and covariance clearly.
Learn how probability behaves under transformations and conditioning.
Use mathematical tools to study probability distributions.
Understand convergence concepts in probability theory.
Learn key results like the Law of Large Numbers and Central Limit Theorem.

Why people choose EveryEng

Industry-aligned courses, expert training, hands-on learning, recognized certifications, and job opportunities—all in a flexible and supportive environment.

Industry Veteran
Trainer Review

Technip

The content quality on EveryEng is outstanding! Every lesson is well-organized, and the instructors explain everything so clearly. This platform can help every engineer grow professionally in ways I never imagined.

Mulkita Sabharwal

Lead Engineer

Frankfrut, Germany

Petrofac

I was skeptical at first, but EveryEng's training programs really delivered. I gained the skills and confidence to take on challenging projects and advance my career. Highly recommended!

Nainesh Desai

Principal Project engineer

Sharjah, UAE

ITER

The user experience on EveryEng is fantastic! The platform is simple, efficient, and provides excellent educational content. It helps developing new skills and gain confidence in engineering career.

Nirbhay Naik

Engineer

France

SaiDeepa

EveryEng has completely transformed the learning experience. The platform is easy to navigate, offers high-quality content, and provides great support. I highly recommend it to anyone looking to upskill in engineering.

Sunil Nukatti

CEO

Hydrabad, India

Heelium

EveryEng is my go-to platform for engineering education. The courses are easy to follow, and the instructors are very knowledgeable. The platform has helped my team gain confidence and expertise in our field.

Siddharth Jain

Co-Founder

Pune, India

❮

❯

FREE

Access anytime