Study Guide Test 4

Here is a study check list for test 4:

  • Definition of Experiment, Sample Space, Event, and Outcome
  • Definitions of the intersection, union and complement of events
    • Given an events E and F, you should be able to explain in words what the event E\cup F, E\cap F and E' (See Section 6.1 homework)
    • Know when two events are mutually exclusive.
  • Know the definition of a probability distribution. (See Section 6.2 for lots of examples.)
  • Know how to compute probability of an event, given that all outcomes are equally likely (See section 6.3)
  • Know the inclusion-exclusion rule for probability: Pr(E\cup F) = Pr(E) + Pr(F) - Pr( E\cap F) (See Example 11 from Section 6.2.)
  • Use inclusion-exclusion to fill in a Venn Diagram (For some good problems see number 33 and 35 from Section 6.2 and numbers 1-8 from Section 6.4.)
  • Know the complement rule: Pr(E) = 1-Pr(E')
  • Use the complement rule to compute probability
    • Good clue to look for: `at least 1’…. See for example, the birthday example (example 6 in section 6.3)
  • Know how to compute conditional probability (See Section 6.4)
  • Know the definition of independence: Two events are independent if Pr(E\cap F) = Pr(E)\cdot Pr(F) (See Section 6.4, problems 33-45)