Algebra 2/Trig Name: _________________________ Two Way Tables & Probability Homework Date: __________________________ Directions: Complete each problem. Read carefully and show all work. Round all percents to the nearest tenth. For Example: 43.6%. 1) A survey 990 students about their favorite movie genre. The results are shown below separated by grade level. Drama Comedy Sci-Fi Total 9th 70 82 98 250 10th 84 80 101 265 11th 60 95 85 240 12th 52 73 110 235 266 330 394 990 A) What percent of students selected comedy? B) What percent of students are in tenth grade? C) Of the tenth grade students, what percent selected comedy? D) Of the students who selected comedy, what percent are tenth graders? E) What percent of all students are tenth graders and selected comedy? F) What percent of all students are tenth graders or selected comedy? G) Which grade is most likely to select Drama? Why? H) What percent of 12th graders picked a genre other than Sci-Fi? 2) The following table compares the daily forecast with a city’s actual weather for a year. Fill in the missing pieces of the table. B) On what percent of days did it actually rain? C) On what percent of days was rain predicted? D) What percent of the time was the forecast correct? Actual Weather Rain No Rain Total Forecast 27 63 7 268

Brown Eyes Blue Eyes Total Male 4 24 Female 80 20 3) For a statistics project a student surveyed students at random at his school. Some of the data collected involved the categorical variables of eye color and gender. He began summarizing some of the data in the two-way table shown below. A) Fill in the missing pieces of the two-way table. B) How many total students are represented in the two-way table? C) What percent of students surveyed have brown eyes? D) What percent of students surveyed are male? E) What percent of students surveyed are male and have brown eyes? Brown Eyes Blue Eyes Total Male 4 24 Female 80 20 F) A student who is surveyed is picked at random who is female, what is the probability that they have blue eyes? G) A student who is surveyed is picked at random, what is the probability that they are female? The GfK Custom Research of North America conducts a yearly survey on consumer attitudes worldwide. They collect demographic information on the roughly 1500 respondents from each country that they survey. Here is a table showing the number of people with various levels of education in five countries. Post-graduate College Some high school Primary or less No answer Total China 7 315 671 506 3 1502 France 69 388 766 309 1539 India 161 514 622 227 11 1535 U.K. 58 207 1240 32 20 1557 USA 84 486 896 87 4 379 1910 4195 1161 45 7690 If we select someone at random from this survey, A) What is the probability that the person is from the United States? B) What is the probability that the person completed his or her education before college? What is the probability that the person is from France or did some post-graduate study? What is the probability that the person is from France and finished only primary school or less?