Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education

Chapter 6 - The Normal Distribution - Review Exercises - Section 6-4 - Page 363: 18

0.049

Work Step by Step

We have $p=0.05, n=500$ Check $np=25\gt5, n(1-p)=475\gt5$ Use the normal approximation to the binomial distribution. $\mu=np=25, \sigma=\sqrt {np(1-p)}=4.87$ Use $X1=29.5,X2=30.5$ we have $z1=\frac{29.5-25}{4.87}=0.924, z2=\frac{30.5-25}{4.87}=1.13$ The probability between z1 and z2 is 0.049

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