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STATS 2D03

INTRODUCTION TO PROBABILITY

Undergraduate

Spring/Summer 2026 · Intro To Probability · C01

Readings

  • Etext Introduction To Probability - 6 Month Access
    Anderson · Required
    ISBN 9781108246705; 9781108415859
Spring/Summer 2026 · C01

Topics

  • Counting and sampling, binomial coefficients, counting problems
  • Set theory notation, probability spaces, equally likely outcomes, infinite sample spaces
  • Inclusion-exclusion principle, discrete random variables, conditional probability, law of total probability, Bayes' theorem, independence
  • Independent trials, geometric and binomial distributions, Polya's urn, continuous random variables, PDFs, CDFs, uniform distribution
  • Victoria Day: No Lecture
  • Expected value, properties of the expected value, expected value of a function of a random variable, variance, geometric & exponential memorylessness property
  • Midterm 1
  • Normal approximation to the binomial, inequalities and the weak law of large numbers, Poisson approximation to the binomial
  • Functions of a random variable, joint distributions of dependent discrete random variables
  • Jointly continuous random variables, independence in joint distributions, covariance and correlation
  • Midterm 2
  • Moment generating functions, sums of independent random variables, convolutions

Readings

  • Introduction to Probability
    David F. Anderson, Timo Seppäläinen, Benedek Valkó · 20171102 · 1 · Required
    Cambridge University Press · ISBN 9781108246705
  • Introduction to Probability ISBN: 9781108246705 Authors: David F. Anderson, Timo Seppäläinen, Benedek Valkó Publisher: Cambridge University Press Publication Date: 20171102 Edition: 1
    See source
  • Appendix C & D;1.2
    See source
Fall 2026 · Intro To Probability · C01, C02

Readings

  • eText Introduction To Probability - Lifetime Access
    Balakrishnan · Immediate Access
    ISBN 9781118548493; 9781118548714
Fall 2025 · Intro To Probability · C01, C02

Readings

  • Etext Introduction To Probability - 6 Month Access
    Anderson · Required
    ISBN 9781108246705; 9781108415859
Sources