A college conducted a survey to explore the academic interests 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 Dean’s list last term,” statement #2 was I belong to an academic club, such as the math club or the Spanish club.” and statement #3 was b1 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 who checked #3. Fill in the numbers for all eight regions of the diagram.
d. 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?
Finite Mathematics for the Managerial, Life, and Social Sciences
Finite Mathematics
Mathematical Applications for the Management, Life, and Social Sciences
Mathematics: A Practical Odyssey
Elementary Technical Mathematics
Mathematical Excursions (MindTap Course List)
Mathematics For Machine Technology
Multivariable Calculus
Calculus: Early Transcendental Functions
Introduction To Statistics And Data Analysis
Calculus: Early Transcendentals
Probability and Statistics for Engineering and the Sciences
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Intermediate Algebra
Applied Calculus
Trigonometry (MindTap Course List)
Research Methods for the Behavioral Sciences (MindTap Course List)
Single Variable Calculus
College Algebra (MindTap Course List)
Elements Of Modern Algebra
Essentials Of Statistics For Business & Economics
Contemporary Mathematics for Business & Consumers
Research Methods for the Behavioral Sciences (MindTap Course List)
Calculus (MindTap Course List)
Statistics for Business & Economics, Revised (MindTap Course List)
Calculus: An Applied Approach (MindTap Course List)
Essentials Of Statistics
Understanding Basic Statistics
Calculus of a Single Variable
Study Guide for Stewart's Multivariable Calculus, 8th
Elementary Geometry for College Students
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Calculus (MindTap Course List)
Single Variable Calculus: Early Transcendentals, Volume I
Single Variable Calculus: Early Transcendentals
Calculus: Early Transcendental Functions (MindTap Course List)
Statistics for The Behavioral Sciences (MindTap Course List)
STATISTICS F/BUSINESS+ECONOMICS-TEXT
Multivariable Calculus
Finite Mathematics and Applied Calculus (MindTap Course List)
Elementary Geometry For College Students, 7e
Precalculus: Mathematics for Calculus (Standalone Book)
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Calculus Volume 2
A First Course in Differential Equations with Modeling Applications (MindTap Course List)
Calculus Volume 1
Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)