Introduction to Probability

In spring 2011, I taught a course on probability in BIHE.
The course was taught online throgh the Microsoft Live Meeting software.
I prepared some slides for this course. You can see the slides below.

Lessons and Slides

  • Lesson 1 : Discrete Random Variables: Geometric, Poisson, Binomial
  • Lesson 2: Expectation, Mean, Variance
  • Lesson 3: Joint PMFS, Conditioning, Independence
  • Lesson 4: Independence, Continuous Random Variables and PDFs
  • Lesson 5: Independence, Continuous Random Variables and PDFs
  • Lesson 6: Conditioning on an Event
  • Lesson 7: Multiple Continuous Random Varialbes
  • Lesson 8: Bayes' Rule, Derived R.Vs, Markov Chains
  • Lesson 9 :Markov Chains, Examples
  • Lesson 10: Markov Chains, Recurrence, Transience, Periodicity, Steady State
  • Lesson 11: Markov Chains Expected time to Absorption

Homeworks

Some of the homeworks are from here

Exams