Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education
ISBN 10: 0078136334
ISBN 13: 978-0-07813-633-7

Chapter 4 - Probability and Counting Rules - 4-3 The Multiplication Rules and Conditional Probability - Exercises 4-3 - Page 223: 19


a. $0.167$ b. $0.393$ c. $0.691$

Work Step by Step

Total number of students = 19053000 a. A male student without aid $p=\frac{8,073,000}{19053000}\times(1-0.606)=0.167$ b. A male student, given that the student has aid $p=\frac{0.606\times8073000}{0.606\times8073000+0.652\times10980000}=0.393$ c. A female student or a student who receives federal aid P(female)=$10980000/19053000=0.576$ P(all fed aid)=$\frac{0.448\times0.606\times8073000+0.504\times0.652\times10980000}{19053000}=0.304$ P(female and all fed aid)=$\frac{0.504\times0.652\times10980000}{19053000}=0.189$ P(female or all fed aid)=$0.576+0.304-0.189=0.691$
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