1.  At Central High School, the math club has 15 members and the chess club has 12 members. If a total of 13 students belong to only one of the two clubs, how many students belong to both clubs?

2.  Over the summer the counseling department makes schedules. In one instance they are working on 100 students’ schedules. 32 of those students want to take stats, 24 want to take calculus, and 40 want to take art. Only 3 students want to take all three classes. 10 want to take just statistics, 11 want both calculus and statistics, and 4 want to take just calculus and art. Make a Venn diagram that models this situation and find the following probabilities:

3.  The counseling department is trying to schedule 56 students. Of the students, 28 want to take Spanish, 15 want to take Precalculus, and 22 want to take AP European History. Additionally, 10 want to take both Spanish and Precalculus, 8 want to take Spanish and AP European History, and 3 want to take all of these classes. Only 3 students want to take just Precalculus.  We will define Precalculus as P, Spanish as S, and AP European History as E.  Draw a Venn diagram for the above situation and fill in any missing values.

6. Conditional Rule Mult Rule for Independent Events

8.  If we know that a randomly selected student has pierced ears, what is the probability that the student is male? GenderYesNoTotal Male197190 Female84488 Total10375178

9.  If we know that a randomly selected student is male, what is the probability that the student has pierced ears? GenderYesNoTotal Male197190 Female84488 Total10375178

10.  Students at the University of New Harmony received 10,000 course grades last semester. Consider the two events E: the grade comes from an EPS course, and L: the grade is lower than a B. SchoolABBelow B Liberal Arts2,1421,8902,268 Engineering and Physical Science 368432800 Health and Human Services 882630588

11. SchoolABBelow B Liberal Arts2,1421,8902,268 Engineering and Physical Science 368432800 Health and Human Services 882630588

12. SchoolABBelow B Liberal Arts2,1421,8902,268 Engineering and Physical Science 368432800 Health and Human Services 882630588

15.  Is there a relationship between gender and handedness? To find out, us the data of 50 Australian students who completed a survey.  Check all three ways! Gender Right Handed Left Handed Total Male20323 Female23427 Total43750

17.  The Pew Internet and American Life Project finds that 93% of teenagers (ages 12 to 17) use the internet, and that 55% of online teens have posted a profile on a social networking site.  What percent of teens are online and have posted a profile? Explain.

18.  On Jan 28, 1896, the Space Shuttle Challenger exploded on takeoff. All 7 crew members were killed. Upon investigation they found out that the failure of the O-ring was to blame and estimated that the probability that an individual O-ring joint would function properly was 0.977. There were six O- rings on board, and all six had to function properly for the shuttle to launch safely. Find the probability that the shuttle would launch safely.

21.  Page 293 (1-4, 7-12, 14-20, 23-27)  Page 309 (39-46, 49-56)  Page 329 (63, 65, 67-78, 81, 83-88, 94-96, 99-103)