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Introduction to Probability: Data and Uncertainty

Master the foundations of probability theory to understand data, randomness, and uncertainty in this Harvard course.

Master the foundations of probability theory to understand data, randomness, and uncertainty in this Harvard course.

Dive into the world of probability with Harvard's comprehensive course. Learn to navigate uncertainty and randomness, gaining essential tools for data analysis, science, engineering, economics, and finance. From medical testing to sports predictions, you'll develop a strong foundation in statistical inference and stochastic processes. This course empowers you to solve complex problems and apply probability concepts to real-world scenarios.

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Introduction to Probability: Data and Uncertainty

This course includes

10 Weeks

Of Self-paced video lessons

Intermediate Level

Completion Certificate

awarded on course completion

17,641

What you'll learn

  • Develop critical thinking skills for handling uncertainty and randomness

  • Learn techniques for making accurate predictions based on probability

  • Master the story approach to understanding random variables

  • Explore common probability distributions used in statistics and data science

  • Understand methods for calculating expected values of random quantities

  • Apply conditional probability to solve complex problems

Skills you'll gain

Probability
Statistics
Data Analysis
Randomness
Uncertainty
Prediction
Stochastic Processes
Statistical Inference
Data Science
Algorithms

This course includes:

PreRecorded video

Graded assignments, exams

Access on Mobile, Tablet, Desktop

Limited Access access

Shareable certificate

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There are 8 modules in this course

This course provides a comprehensive introduction to probability theory and its applications. It covers fundamental concepts such as uncertainty and randomness, probability distributions, expected values, conditional probability, and Markov chains. The curriculum is designed to build a strong foundation for further study in statistical inference, stochastic processes, and randomized algorithms. Through diverse examples from medical testing to sports prediction, students learn to apply probability concepts to real-world scenarios.

Unit 0: Introduction, Course Orientation, and FAQ

Module 1

Unit 1: Probability, Counting, and Story Proofs

Module 2

Unit 2: Conditional Probability and Bayes' Rule

Module 3

Unit 3: Discrete Random Variables

Module 4

Unit 4: Continuous Random Variables

Module 5

Unit 5: Averages, Law of Large Numbers, and Central Limit Theorem

Module 6

Unit 6: Joint Distributions and Conditional Expectation

Module 7

Unit 7: Markov Chains

Module 8

Fee Structure

Instructor

Distinguished Statistics Educator and Probability Expert

Professor Joseph K. Blitzstein serves as Professor of the Practice in Statistics and Co-Director of Undergraduate Studies at Harvard University, where he has transformed statistical education since 2006. After completing his PhD in Mathematics and MS in Statistics from Stanford University under Persi Diaconis, and his undergraduate studies at Caltech, he has become one of Harvard's most influential educators. His signature course, Statistics 110: Introduction to Probability, has grown from 80 to over 500 students annually, becoming a cornerstone of Harvard's quantitative education. He co-authored the widely-used textbook "Introduction to Probability" and pioneered Harvard's first data science course in 2013. Beyond his teaching achievements, which include winning the Fannie Cox Prize for Excellence in Science Teaching and being voted "Favorite Professor" in the Harvard College Yearbook for 11 consecutive years, Blitzstein's research focuses on statistical inference for networks and complex data structures. A chess expert who advises the Harvard Chess Club, he has earned particular recognition during the pandemic for his innovative teaching methods and dedication to student support. His expertise spans probability theory, data science, and statistical education, making complex concepts accessible while maintaining rigorous academic standards

Introduction to Probability: Data and Uncertainty

This course includes

10 Weeks

Of Self-paced video lessons

Intermediate Level

Completion Certificate

awarded on course completion

17,641

Testimonials

Testimonials and success stories are a testament to the quality of this program and its impact on your career and learning journey. Be the first to help others make an informed decision by sharing your review of the course.

4.4 course rating

40 ratings

Frequently asked questions

Below are some of the most commonly asked questions about this course. We aim to provide clear and concise answers to help you better understand the course content, structure, and any other relevant information. If you have any additional questions or if your question is not listed here, please don't hesitate to reach out to our support team for further assistance.