Course Summary
This course is an introduction to probability, covering both theory and applications. Students will learn about probability models, random variables, and statistical inference.Key Learning Points
- Learn the fundamental concepts and techniques of probability
- Gain a solid foundation in probability theory
- Apply probability theory to real-world problems
Related Topics for further study
Learning Outcomes
- Understand the basic principles of probability theory
- Apply probability theory to real-world problems
- Develop statistical models and perform statistical inference
Prerequisites or good to have knowledge before taking this course
- Basic knowledge of algebra and calculus
- Familiarity with basic statistical concepts
Course Difficulty Level
IntermediateCourse Format
- Online
- Self-paced
- Interactive
Similar Courses
- Mathematical Biostatistics Boot Camp
- Data Science: Probability
- Bayesian Statistics
Related Education Paths
Related Books
Description
This course will provide you with a basic, intuitive and practical introduction into Probability Theory. You will be able to learn how to apply Probability Theory in different scenarios and you will earn a "toolbox" of methods to deal with uncertainty in your daily life.
Outline
- Probability
- Welcome
- Introduction
- Definition and Rules
- A First Look at Statistical Independence
- Subjective Probabilities
- Empirical Probabilities: Benford's Law
- Exercise
- Script: Part 1
- Introductory Quiz
- 1.1
- 1.2
- 1.3
- 1.4
- 1.5
- 1.6
- Conditional Probability
- Intuition
- Definition
- Multiplication Rules
- Probability Tables
- Bayes Rule
- Exercise
- Script: Part 2
- 2.1
- 2.2
- 2.3
- 2.4
- 2.5
- 2.6
- Application
- The Birthday Problem
- The Monty Hall Problem
- Structuring Risks: Part 1
- Structuring Risks: Part 2
- The Prosecutor's Fallacy
- The Sad Story of Sally Clark
- 3.1
- 3.2
- 3.3.1
- 3.3.2
- 3.4
- 3.5
- Discrete Random Variables
- Discrete Random Variables
- Expected Value
- Measures of Dispersion
- Application: Financial Model
- Binomial Distribution
- Application: Airline Overbooking
- Exercise 1
- Exercise 2
- Script: Part 4
- 4.1
- 4.2
- 4.3
- 4.4
- 4.5
- 4.6
- 4.7
- 4.8
- Normal Distribution
- Continuous Random Variables
- Normal Distribution
- Calculating Normal Probabilities
- Calculations with the Normal Distribution
- Application of the Normal Distribution
- Exercise
- Script: Part 5
- 5.1
- 5.2
- 5.3
- 5.4
- 5.5
Summary of User Reviews
Key Aspect Users Liked About This Course
Clear and concise explanationsPros from User Reviews
- Great instructor with excellent teaching style
- Suitable for beginners and advanced learners
- Real-world examples make the material engaging and applicable
- Good balance between theory and practical applications
Cons from User Reviews
- Some users found the material too easy
- Not enough practice problems for some users
- Videos can be too long and dry for some users
Karl Schmedders
4.7 Raiting
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