The Basic Practice of Statistics 7th Edition

Published by W. H. Freeman
ISBN 10: 146414253X
ISBN 13: 978-1-46414-253-6

Chapter 14 - Binomial Distributions - Chapter 14 Exercises - Page 344: 14.42d

Answer

$1570.7963,18.3602$

Work Step by Step

The mean of a binomial distribution: $\mu=np=2000\cdot\pi/4=1570.7963$ The standard deviation of a binomial distribution: $\sigma=\sqrt{npq}=\sqrt{np(1-p)}=\sqrt{2000\cdot\pi/4\cdot(1-\pi/4)}=18.3602$
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