Statistics 100A: Introduction to Probability Theory

Announcements

For the course syllabus click here.

Useful links:

For some of the labs you will need to access the Statistics Online Computational Resource (SOCR) at:
  • http://www.socr.ucla.edu

    It's online, therefore it exists!

    The labs are listed under the following link (instructions will be given as to which lab is due when etc. - mainly distributions and experiments activities):
  • http://wiki.stat.ucla.edu/socr/index.php/SOCR_EduMaterials
  • Download R and packages.

    Labs

    Handouts

  • 1. Introduction to combinatorics.
  • 2. Probability.
  • 3. Practice exam.
  • 4. Practice exam.
  • 5. Practice exam.
  • 6. Practice exam.
  • 7. Discrete random variables.
  • 8. Discrete random variables examples - solutions.
  • 9. Discrete probability distributions.
  • 10. Solutions to some problems of handout #2 (probability).
  • 11. Solutions to some problems of handout #9 (discrete probabiltiy distributions).
  • 12. Continuous probability distributions.
  • 13. Poisson, Exponential, and Gamma distributions.
  • 14. Normal distribution.
  • 15. Distributions - summary.
  • 16. Moment generating functions.
  • 17. Practice exam - solutions.
  • 18. Joint probability distributions.
  • 19. Covariance and correlation.
  • 20. Portfolio theory - example using R.
  • 21. Central limit theorem - proof.
  • 22. Central limit theorem - summary.
  • 23. Central limit theorem - examples.

    Homework

  • Homework 1: Due on Monday, 10 August.
  • Homework 2: Due on Wednesday, 12 August.
  • Homework 3: Due on Wednesday, 19 August.
  • Homework 4: Due on Monday, 24 August.
  • Homework 5: Due on Monday, 31 August.
  • Homework 6: Due on Wednesday, 09 September.
  • Homework 7: Due on Wednesday, 09 September.

    Back to the Statistics Department Home page.