
edXData science rests on probability. This course builds your fluency from the axioms upward: counting rules, independence, conditional probability, and Bayes Rule. You'll work with both discrete and continuous random variables, learning their properties and how to apply them in simulations. The course extends to joint distributions, correlation, and the full toolkit of statistical foundations. Working in R ensures you move from theory to practice throughout.
Review Bootcamp lessons based on set theory and calculus. ,Understand underlying probability axioms. ,Apply elementary probability counting rules, including permutations and combinations. ,Become familiar with the concepts of independence and conditional probability. ,Learn how to update probabilities via Bayes Rule. ,Get introduced to discrete and continuous random variables. ,Learn about the properties of random variables, including the expected value, variance, and moment generating function. ,Study functions of random variables, and how they can be used in computer simulation applications. ,Recognize joint(two-dimensional) random variables and how to extract marginal(one-dimensional) and conditional information from them. ,Study the concepts of independence and correlation. ,Work with the R statistical package.
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