Statistics 100A: Introduction to Probability Theory

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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. Occupancy problem: Due on Friday, 30 September.
  • 4. Discrete random variables.
  • 5. Discrete random variables examples - solutions.
  • 6. Discrete probability distributions.
  • 7. Practice exam.
  • 8. Practice exam.
  • 9. Practice exam - Fall 2007 solutions.
  • 10. Practice exam - Fall 2010 solutions.
  • 11. Continuous probability distributions.
  • 12. Solutions to some problems of handout #2 (probability).
  • 13. Solutions to some problems of handout #6 (discrete probabiltiy distributions).
  • 14. Poisson, Exponential, and Gamma distributions.
  • 15. Beta distribution.
  • 16. Normal distribution.
  • 17. Distributions - summary.
  • 18. Moment generating functions.
  • 19. Practice exam.
  • 20. Practice exam.
  • 21. Practice exam - solutions (fall 2010).
  • 22. Practice exam - solutions (spring 2011).
  • 23. Joint probability distributions.
  • 24. Covariance and correlation.

    Homework

  • Homework 1: Due on Monday, 03 October.
  • Homework 2: Due on Friday, 07 October.
  • Homework 3: Due on Wednesday, 19 October.
  • Homework 4: Due on Wednesday, 02 November.
  • Homework 5: Due on Wednesday, 09 November.
  • Homework 6: Due on Wednesday, 23 November.
  • Homework 7: Due on Wednesday, 30 November.

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