Dr. Z's Introduction to Probability Handouts


These are the handouts I gave out when I taught "Introduction to Probability", during the Fall 2017 semester.

  • Lecture 1: Counting

  • Lecture 2: What is Probability? Counting vs. Probability

  • Lecture 3: Sample spaces having equally likely outcomes.

  • Lecture 4: Conditional Probability and Independence; Bayes's Formula

  • Lecture 5: Independent events.

  • Lecture 6:Random Variables

  • Lecture 7: Expectation and Variance

  • Lecture 8: The Bernoulli and Binomial Random Variables

  • Lecture 9: The Poisson Random Variable

  • Lecture 10:Other Discrete Probability Distributions; Linearity of Expectation

  • Lecture 11: Continuous Random Variables; Their Expectation and Variance

  • Lecture 12:The Uniform Distribution and the Normal Distribution.

  • Lecture 13: The Exponential Distribution

  • Lecture 14: Joint Distribution Functions

  • Lecture 15:Independent Random Variables and their Sums

  • Lecture 16: Conditional Distributions

  • Lecture 17: Expectation of Sums of Random Variables

  • Lecture 18: Probability Generating Functions; The Gambler's Ruin Problem.

  • Lecture 19: Covariance, Variance of Sums, and Correlations

  • Lecture 20: Conditional Expectation

  • Lecture 21:Moment Generating Functions

  • Lecture 22:Chebyshev's Inequality and the Weak Law of Large Numbers

  • Lecture 23: The Central Limit Theorem and The Strong Law of Large Numbers.


    Attendance Quizzes with Solutions

    See this directory

    Real Quizzes with Solutions

    See this directory

    Homework problems

    See this directory

    Here are the answers.

    Doron Zeilberger's Homepage