Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321755936
ISBN 13: 978-0-32175-593-3

Chapter 4 - Discrete Random Variables - Exercises 4.50 - 4.76 - Learning the Mechanics - Page 205: 4.55a

Answer

$p(1)=.4096$

Work Step by Step

$q=1-p=1-.2=.8$ $p(x)=\begin{pmatrix} n\\x\end{pmatrix}p^xq^{n-x}$ $p(1)=\begin{pmatrix} 5\\1\end{pmatrix}.2^1.8^{5-1}=\frac{5!}{1!(5-1)!}(.2)(.8)^4=\frac{5(4!)}{4!}(.2)(.8)^4=.4096$
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