Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 8 - Section 8.5 - Normal Distributions - Exercises - Page 603: 4

Answer

$0.912737$

Work Step by Step

Our aim is to find the probability under the standard normal curve. Write the equation for standard normal curve. $P(a \leq Z\leq b)=\int_a^b \exp(\dfrac{-t^2}{2}) \ dt$ Plug in the above equation the given values to obtain: $P(-1.71 \leq Z\leq 1.71 )=\dfrac{1}{\sqrt 2 \pi}\int_{-1.71}^{1.71} \exp(\dfrac{-t^2}{2}) \ dt$ or, $P(-1.71 \leq Z\leq 1.71 )=0.912737$
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