IIRF Online > Teaching & Academics > Math > Probability > Probability Theory: Foundation for Data Science
Probability Theory: Foundation for Data Science by Coursera
Course Highlights
- Explain why probability is important to statistics and data science.
- See the relationship between conditional and independent events in a statistical experiment.
- Calculate the expectation and variance of several random variables and develop some intuition.
Skills you will learn!
Curriculum
5 Topics
Earn Academic Credit for your Work!
Course Support
Course Resources and Reading
Introduce Yourself
Introduction to Jupyter Notebooks and R
8 Topics
Intro to Probability
Axioms of Probability
Counting: Permutations and Combinations
Intro to Probability
Introducing the formula sheet for this course
Homework: Descriptive Statistics and the Axioms of Probability
Homework: Axioms of Probability
Guided Exploratory Ungraded Lab
6 Topics
Conditional Probability and Bayes Theorem
Independent Events
Conditional Probability and Bayes Theorem
Homework: Conditional Probability
Homework: Bayes Theorem
Guided Exploratory Ungraded Lab
8 Topics
Discrete Random Variables
Bernoulli and Geometric Random Variables
Expectation and Variance
Binomial and Negative Binomial Random Variables
Discrete Random Variables
Homework: Discrete Random Variables
Homework: Calculations with Discrete Random Variables
Guided Exploratory Ungraded Lab
9 Topics
Continuous Random Variables
The Gaussian (normal) Random Variable Part 1
The Normal Random Variable Part 2
The Poisson and Exponential Random Variables
Continuous random variables
Normal Random Variable
Homework: Continuous Random Variables
Homework: Continuous Random Variables and Normal Random Variables
Guided Exploratory Ungraded Lab
6 Topics
Covariance and Correlation
More on Expectation and Variance
Jointly Distributed Random Variables
Covariance and Correlation
Homework: Joint Distributions and Covariance
Homework: Calculations of Covariance and Correlation in Various Examples
6 Topics
Introduction to the Central Limit Theorem
Central Limit Theorem Examples
Central Limit Theorem
Homework: Central Limit Theorem
Homework: Working with Normal Random Variables and the CLT
Guided Exploratory Ungraded Lab
Probability Theory: Foundation for Data Science
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