Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 7 - Section 7.2 - Assess Your Understanding - Applying the Concepts - Page 378: 38b

Answer

The probability that a randomly selected sixth-grade student reads more than 140 words per minute is 0.26.

Work Step by Step

$\mu$ = 125, $\sigma$ = 24 Want to find $P(x > 140)$ i) Convert 140 to a z-score z = $\frac{x - \mu}{\sigma}$ z = $\frac{140 - 125}{24}$ z $\approx$ 0.63 ii) $P(x > 140) = P(z > 0.63)$ $P(z > 0.63)$ = $1 - P(z < 0.63)$ =$ 1 - 0.7357$ = $0.26$ Therefore, P( x > 140) = 0.26
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