Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 11 - Counting Methods and Probability Theory - 11.6 Events Involving Not and Or; Odds - Exercise Set 11.6: 16

Answer

$\displaystyle \frac{7}{10}$

Work Step by Step

The empirical probability of event $E$ is $P(E)=\displaystyle \frac{observed\ number\ of\ times\ E\ occurs}{total\ number\ of\ observed\ occurrences}$ ----------- The total number of movie goers is : 900+1080+840+180=3000 The observed number of E, a movie goer being between 19 and 24, is: $P(E)=\displaystyle \frac{900}{3000} =\displaystyle \frac{3}{10}$ The probability of this event not occurring, therefore, is: $P($not E$)=1-\displaystyle \frac{3}{10}=\frac{7}{10}$
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