Foundations of Probability and Random Variables

This course is part of Statistical Methods for Computer Science Specialization

Instructors: Ian McCulloh +1 more

What you'll learn

  •   Master combinatorial techniques, including permutations, combinations, and multinomial coefficients, to solve counting and probability problems.
  •   Apply probability axioms, construct Venn diagrams, and calculate sample space sizes to evaluate probabilities in various scenarios.
  •   Utilize Bayes' formula, the multiplication rule, and conditional probability to assess event relationships and solve real-world problems.
  •   Analyze discrete and continuous random variables using probability density functions, cumulative distribution functions, and expected values.
  • Skills you'll gain

  •   Data Science
  •   Statistical Methods
  •   Bayesian Statistics
  •   Combinatorics
  •   Computational Thinking
  •   Statistical Analysis
  •   Probability Distribution
  •   Probability
  •   Simulations
  •   Artificial Intelligence and Machine Learning (AI/ML)
  •   Data Analysis
  •   R Programming
  •   Probability & Statistics
  •   Applied Mathematics
  • There are 6 modules in this course

    What makes this course unique is its practical approach: students will develop hands-on proficiency in the R programming language, which is widely used in data science and statistical modeling. The course also includes real-world applications, allowing learners to bridge theoretical knowledge with practical problem-solving skills. Whether you are aiming to pursue advanced studies in machine learning or develop data-driven solutions in professional settings, this course provides the solid foundation you need to excel. Designed for learners with a background in calculus and basic programming, this course prepares you to tackle more advanced topics in computational science.

    Combinatorial Analysis

    Probability

    Conditional Probability and Independence

    Discrete Random Variables

    Continuous Random Variables

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