Measure Theory – A

Measure Theory gives us the structure in which to talk about probability in a formal manner.  While not a major focus for this course, a familiarity with the subject will be helpful for future courses.  We will begin by discussing the Sample Space.

---

Learning Outcomes:

• Know the basic laws of set theory.
• Know the definition of -algebra and measure space.
• Given a collection of subsets of a set know how to determine if they are a -algebra.
• Understand the difference between a outcome and an event.
• Know the axioms of probability, and associated basic theorems.
• Understand what it means when something has probability 0 or 1.

---

Practice Problems:

• Page 9:
  1. #2
  2. #4
  3. #7
  4. #12
• Page 23:
  1. #2
  2. #5
  3. #7
  4. #10
  5. #22