Determine a method to simulate each of the following events:  If 15% of all AP statistics students get a “5” on the AP exam, how many would we need to randomly select until we selected someone who got a “5”?  A professional basketball player has a 73% free throw percentage, and needs to make their next two free throw attempts. Warm up! Put these on a separate sheet of paper. I might RANDOMLY decide to collect!

Homework questions

5.2 Venn Diagrams

 When we find P(A or B) we were having to add up individual cells from our tables.  When we say we are going to the football game or watching a movie that usually means we will do one or the other, BUT NOT BOTH!  In statistics, “A or B” could mean one or the other or both…  When we did those problems in yesterday’s notes we added each cell and divided by the total to get P(A or B) Issue from yesterday…

 Find P(male or pierced ears) Another way to look at it GenderYesNoTotal Male Female84488 Total

 P(A) = 90/178  P(B) = 103/178  P(A and B) = 19/178  The middle is double counted if we simply add  P(A or B) = P(A) + P(B) – P(A and B) Venn Diagrams

 P(A or B) = P(A) + P(B) – P(A and B)  If the events happen to be mutually exclusive… General Addition Rule for Two Events

Compliment

Mutually Exclusive or Disjoint

 In an apartment complex, 40% of residents read USA Today. Only 25% read the New York Times. Five percent of residents read both papers. Suppose we select a resident of the apartment complex at random and record which of the following two papers the person reads.  Made a two-way table (assume 100 people total to make easy)  Construct a Venn Diagram  Find the probability that the person reads at least one of the two papers.  Find the probability that the person doesn’t read either paper. Example

Reads New York Times YesNoTotal Yes52025 No Total Two-Way Table

Venn Diagram

Answer Questions

 Section 5.2 homework: Pg. 309 (39- 46, 49-56) Homework