5. Cases of Meningitis The data show the number of specic recorded cases of meningitis for 14 specic states. 111 3 5 35 18 46 11 19 7 16 55 40 25 8 Find the z values for each a. 10 b. 28 c. 41 6. SAT Scores The average national SAT score is 1019. If we assume a bell-shaped distribution and a standard deviation equal to 110, what percentage of scores will you expect to fall above 1129? Above 799? 7. For the 2 data sets that follow, nd a) S-Number Summary and b) Outliers by using IQR A: 14, 1'8, 27, 26, 19, 13, 5, 25 B; 112, 157, 192, 116, 153, 129, 131 '1'. Named Storms The data show the number of named storms for the years 18511860 and 1941 and 1950. Construct a boxplot for each data set and compare the similarities or differences of the distributions of these two data sets. Provide a few comments noting your observations. 185118606585564687 19411950. 6 10 10 11 ll 6 9 9 13 13 8. Exam Scores On a philosophy comprehensive exam, this distribution was obtained from 25 students. Score Frequency 40.545.5 3 45.550.5 8 50.555.5 10 55.560.5 3 60.565.5 1 a. Construct a percentile graph. b. Find the values that correspond to the 22nd, 78th, and 99th percentiles. c. Find the percentiles of the values 52, 43, and 64. 9. New Cars The probability that a new automobile has a backup camera is 0.6. The probability that a new automobile has a GPS system is 0.4. The probability that a new automobile has both a backup camera and a GPS is 0.2. If a new automobile is selected at random, find the probability that it has neither a backup camera nor a GPS. 10. Online Course Selection Roughly 1 in 6 students enrolled in higher education took at least one online course last fall. Choose 5 enrolled students at random. Find the probability that a. All 5 took online courses b. None ofthe 5 took a course online c. At least 1 tool; an online course 11. Purchasing Sweaters During a sale at a men's store, 16 white sweaters, 3 red sweaters, 9 blue sweaters, and 7 yellow sweaters were purchased. If a customer is selected at random, nd the probability that he bought a. A blue sweater b. A yellow or a white sweater c. A red, a blue, or a yellow sweater d. A sweater that was not white 12. Drawing Cards Three cards are drawn from an ordinary deck without replacement. Find the probability of getting a. All black cards b. All spades c. All queens d. Ace, 2, 3 of any suit 13. Movie Releases The top five countries for movie releases for a specific year are the United States with 471 releases, United Kingdom with 386, Japan with 79, Germany with 316, and France with 132. Choose 1 new release at random. Find the probability that it is European b. From the United States c. German or French d. German given that it is European 14. Movie Releases The top five countries for movie releases for a specific year are the United States with 471 releases, United Kingdom with 386, Japan with 79, Germany with 316, and France with 132. Choose 1 new release at random. Find the probability that it is a. European b. From the United States c. German or French d. German given that it is European 15. Factory Output A manufacturing company has three factories: X, Y, and Z. The daily output of each is shown here. Product Factory X Factory Y Factory Z TVs 18 32 15 Stereos 20 13 If 1 item is selected at random, find these probabilities. a. It was manufactured at factory X or is a stereo. b. It was manufactured at factory Y or factory Z. c. It is a TV or was manufactured at factory Z.16. Education Level and Smoking At a large factory, the employees were surveyed and classified according to their level of education and whether they smoked. The data are shown in the table. Extend the table to fill in all totals and compute the following. Educational level Smoking habit Not high school graduate High school graduate College graduate Smoke 6 14 19 Do not smoke 18 25 If an employee is selected at random, find these probabilities. a. The employee smokes, given that he or she graduated from college. b. Given that the employee did not graduate from high school, he or she is a smoker. c. Employee is a smoker. d. Employee is a College graduate and doesn't smoke. e. Not a high school graduate or does not smoke