Answer
$140$
Work Step by Step
$z=\frac{y-\mu}{\rho}$
$2.5=\frac{y-100}{16}$
$y-100=16\times2.5$
$y=100+40=140$
An IQ of $140$ or higher is considered the “genius” range ($z\geq 2.5$).
Stats Modeling the World, 4th Edition
by Bock, David E.; Velleman, Paul F.; De Veaux, Richard D.
Published by
Pearson
ISBN 10:
0133151549
ISBN 13:
978-0-13315-154-1
Chapter 5 - The Standard Deviation as a Ruler and the Normal Model - Exercises - Page 132: 10
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