Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 6 - Section 6.3 - Assess Your Understanding - Applying the Concepts - Page 351: 14d

Answer

No, it would not be unusual.

Work Step by Step

$P(fewer~than~16)=P(x\lt16)=P(0)+P(1)+P(2)+P(3)+P(4)+P(5)+P(6)+P(7)+P(8)+P(9)+P(10)+P(11)+P(12)+P(13)+P(14)+P(15)=0.944$ The probability that there will be more than 15 potholes over 3 miles of randomly selected highway is the complement of the probability that there will be fewer than 16 potholes over 3 miles of randomly selected highway. Using the Complement Rule (see page 275): $P(more~than~15)=1-P(x\lt16)=1-0.944=0.056$ $P(more~than~15)\gt0.05$. So, it is not an unusual event.
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