Name: Date Class Period: 4.3 Two-Way Tables and Venn Diagrams EXTRA Practice Worksheet 1) Breakfast every day? Students in an urban school were curious about how many children regularly eat breakfast. They conducted a survey, Gender asking, "Do you eat breakfast regularly?" All 595 students in the school Male Female Total Eats responded to the survey. The resulting data are summarized in the two- breakfast 190 110 300 way table. Suppose we select a student from the school at random. regularly No 130 165 295 Event F = female student. Event B = eats breakfast regularly. Total 320 275 595 (a) Find P(BC). (b) Find P(F n BC). (c) Find P(F U BC). 2) Casualties of the Titanic. In 1912 the Titanic struck an iceberg and sank on its first voyage. Some passengers got off the ship in lifeboats, but Class many died. The following two-way table gives information about adult First Second |Third passengers who survived and who died, by class of travel. Suppose we Yes 197 94 151 randomly select of one of the adult passengers who rode on the Titanic. Survived Event D: passenger who died. Event F: first class passenger. No 122 167 476 (a) Find P(FC). (b) Find P(F'n D). elnobutar (c) Find P( F U D). 3) Phone choices. According to the National Center for Health Statistics, in December 2012, 60% of U.S. households had a traditional landline telephone, 89% of households had cell phones, and 51% had both. Suppose we randomly selected a household in December 2012. (a) Construct a Venn diagram to the right to represent the outcomes of this chance process using the event 7: has a traditional landline an ythaten telephone and event C: has a cell phone. (b) Find P(T U C). (c) Find P(TC n CC). (d) Find P(TC n C).4) Mac or PC? A recent census at a major university revealed that 60% of its students mainly used Macs. The rest mainly used PCs. At the time of the census, 67% of the school's students were undergraduates. The rest were graduate students. In the census, 23% of respondents were graduate students who said they used Macs at their main computers. (a) Construct a Venn diagram to the right to represent the outcomes of this chance process using the event G: graduate student and event M: mainly uses a Mac. (b) Find P(G UM). (c) Find P(G n M). (d) Find P(GC UM). 5) Middle school values. Researchers carried out a survey of fourth-, fifth-, and sixth-grade students in Michigan. Students were Grade asked whether good grades, athletic ability, or being popular was 4th 5th 6th most important to them. This two-way table summarizes the survey grade grade grade Total 49 69 data. Suppose we select one of these students at random. Find the Grades 50 168 Most Athletic 24 36 38 98 following probabilities. Include proper notation. important Popular 19 22 28 69 (a) The student is a 6th grader or a student rated good grades as Total 92 108 135 335 important. (b) The student is not a sixth grader and did not rate good grades as important. of flair and of meinsit snov esquiteno ) (s) (c) The student is a 5th grader or a student who rated popularity as important. oneno all To . Smostuo and) doesTour (d) The student is a 4th grader and rated athletic ability as important