-
Course
- Data
Statistics Foundations: Understanding Probability and Distributions
We live in a world of big data, and someone needs to make sense of all this data. In this course, you will learn to efficiently analyze data, formulate hypotheses, and generally reason about what the ocean of data out there is telling you.
What you'll learn
We live in a world of big data: huge amounts of data generated by social networks, governments, consumers and markets. Someone needs to make sense of all this data. In this course, Statistics Foundations: Understanding Probability and Distributions, you will learn the fundamental topics essential for understanding probability and statistics. First, you will have an introduction to set theory, a non-rigorous introduction to probability, an overview of key terms and concepts of statistical research. Then, you will discover different statistical distributions, discrete and continuous random variables, probability density functions, and moment generating functions. Finally, you will use key distribution measures such as mean and variance, and explore topics of covariance and correlation. By the end of this course, you’ll be able to look at data and reason about it in terms of its descriptive statistics and possible distributions.
Table of contents
- Course Introduction | 3m 46s
- Module Overview | 1m 8s
- Introducing Sets | 2m 52s
- Set Membership, Null Set, Subsets | 4m 50s
- Set Operations: Union, Intersect, Difference | 3m 28s
- Cardinality and Set Complement | 1m 44s
- Some Set Laws | 1m 43s
- Experiments and Events | 1m 35s
- Sample Spaces and Points | 37s
- Set Operations on Events | 2m 21s
- Independence of Events | 1m 23s
- Demo: Set Operations | 4m 38s
- Introduction to Probability | 2m 36s
- Rules of Probability | 1m 13s
- Probability Examples | 1m 50s
- Demo: Basic Probability | 4m 59s
- Discrete and Continuous Probability | 2m 57s
- Counting Sample Points | 3m 19s
- Multiplication Rule | 1m 12s
- Permutations | 4m 41s
- Permutation Examples | 3m 29s
- Demo: Birthday Problem | 5m 50s
- Combinatorial Methods | 4m 1s
- Binomial Coefficients | 4m 10s
- Multinomial Coefficients | 4m 11s
- Probability of a Union of Events | 4m 4s
- Summary | 55s
About the author
Dmitri is a developer, speaker, podcaster, technical evangelist and wannabe quant.
More Courses by Dmitri