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: 4.55b

Answer

$p(2)=.3456$

Work Step by Step

$p=1-p=1-.4=.6$ $p(x)=\begin{pmatrix} n\\x\end{pmatrix}p^xq^{n-x}$ $p(2)=\begin{pmatrix} 4\\2\end{pmatrix}(.6)^2(.4)^{4-2}=\frac{4!}{2!(4-2)!}(.36)(.4)^2=\frac{4(3)(2!)}{2(2!)}(.36)(.16)=6(.36)(.16)=.3456$
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