Acollegeconductedasurveytoexploretheacademicinterests and
Chapter 9, Problem 9.115(choose chapter or problem)
Acollegeconductedasurveytoexploretheacademicinterests and achievements of its students. It asked students to place checks beside the numbers of all the statements that were true of them. Statement #1 was I was on the honor roll last term, statement #2 was I belong to an academic club, such as the math club or the Spanish club, and statement #3 was I am majoring in at least two subjects. Out of a sample of 100 students, 28 checked #1, 26 checked #2, and 14 checked #3, 8 checked both #1 and #2, 4 checked both #1 and #3, 3 checked both #2 and #3, and 2 checked all three statements. a. How many students checked at least one of the statements? b. How many students checked none of the statements? c. Let H be the set of students who checked #1, C the set of students who checked #2, and D the set of students whochecked#3.Fillinthenumbersforalleightregions of the diagram below.Sample of StudentsHCDd. How many students checked #1 and #2 but not #3? e. How many students checked #2 and #3 but not #1? f. How many students checked #2 but neither of the other two?
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