Section I Sample Examination Two 49 2. A telecommunications company uses three different systems to produce the print shaft holder for its most popular fax machine. System A produces 50% of the shaft holders, System B produces 30% of the shaft holders, and System C produces 20% of the shaft holders. The percentages of defective shaft holders produced by each system are respectively, 3%, 4% and 5%. (a) If a shaft holder is selected at random, what is the probability that it is defective? (b) If a shaft holder is selected at random and found to be defective, what is the probability that it was produced by System A?Sample Examination Two .. - SatiOn II \"E (19) Draw box plots for the data in each of the two lea ' ' gues and 1d t number summary for each plot. What comparisons car You men fy the vet.h * a]: between e homemn outputs of the two leagues? , 126 Sample Examination Five Section II 5. The voters in Pleasantville, U.S.A. are 65% Baptist, 25% Catholic, and 10% Jewish. A Jewish vice presidential candidate expects to receive 30% of the Baptist vote, 50% of the Catholic vote, and 90% of the Jewish vote. (a) What percent of the overall vote of Pleasantville does the candidate expect to receive? (b) Given that a voter casts his/her vote for this candidate, what is the probability that the voter was Baptist?Section II Part A Time-65 minutes Questions 1-5 Percent of Section II grade-75 Directions: Show all your work. Indicate clearly the methods you use, because you will be graded on the correctness of your method as well as on the accuracy of your results and explanations. 1. A test measuring dexterity skills was administered to a random sample of 185 employees of a company that manufactures precision medical instruments. Employees were given a passing score if they were able to complete at least five of the eight assigned tasks on this dexterity test. The table below summarizes the number of men and women who received passing scores and the number who did not pass the test. Men Women Total Passed 76 48 124 Did Not Pass 34 27 61 Total 110 75 185 If an employee is randomly selected from the 185 employees who were administered this test, (a) What is the probability that the employee passed the test if it is known that the employee is a woman?Section II Part A Time-65 minutes Questions 1-5 Percent of Section II grade-75 Directions: Show all your work. Indicate clearly the methods you use, because you will be graded on the correctness of your method as well as on the accuracy of your results and explanations. 1. The table below shows the home run output of all American League and National League baseball teams during the 2000 season. American League Home Runs National League Home Runs Cleveland 221 Colorado 161 Kansas City 150 San Francisco 226 Chicago White Sox 216 Houston 249 Texas 173- Cincinnati 200 S Anaheim 236 Atlanta 179 New York Yankees 205- St. Louis 235. Detroit 177 Pittsburgh 168 Toronto 244 Montreal 178 Baltimore 184 Arizona 179 Minnesota 146 F New York Mets 198 Oakland 239 Florida 160 IV Seattle 198 Los Angeles 211 Boston 167 Chicago Cubs 183 Tampa Bay 162 San Diego 183 Philadelphia 144 3 Milwaukee 177Section II Sample Examination Three 75 (b) What is the probability that the employee is a woman, given that it is an employee who passed the test? (c) Are the events "selecting an employee who passed the test" and "selecting an employee who is a woman" independent events? Justify you