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 379: 45a

Answer

The probability that a team wins by 5 or more points relative to the spread is 0.3228.

Work Step by Step

$\mu$ = 0, $\sigma$ = 10.9 Want to find $P( x \geq 5 )$ i) Convert 5 to a z-score: z = $\frac{x - \mu}{\sigma}$ z = $\frac{5 - 0}{10.9}$ z= 0.46 ii) $P(x \geq 5)$ = P(z > 0.46) = 1 - P( z < 0.46) = 1-0.6772 = 0.3228
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