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 - 4-2 The Addition Rules for Probability - Exercises 4-2 - Page 208: 17


a. $0.121$ b. $0.552$ c. $0.414$

Work Step by Step

Total number is 58 a. Has no opinion (add up to 7) P(no opinion)=$7/58=0.121$ b. Is a freshman or is against the issue (add up freshman 28, against 12) P( freshman)=$28/58=0.483$, P(against)=$12/58=0.207$ P(freshman and against)=$8/58=0.138$ P(freshman or against)=$0.483+0.207-0.138=0.552$ c. Is a sophomore and favors the issue P( sophomore and favors)=$24/58=0.414$
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