Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 11 Data Analysis and Statistics - 11.3 Use Normal Distributions - 11.3 Exercises - Problem Solving - Page 762: 36a

Answer

See below

Work Step by Step

6 feet = 72 inches $\text{z-score}=\frac{\text{data item-mean}}{\text{standard deviation}}$ Hence here the z-score is: $z_{72}=\frac{72-69}{2.75}=1.1$ Then, using the table: $P(z\geq 1.1)=1-0.8643=.1357$ The probability that all of them are more than 6 feet tall is: $(.1357)^3=0.002499$
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