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 - Applying the Concepts - Basic - Page 205: 4.62f

Answer

$p(x\gt8)=.011$

Work Step by Step

$q=1-p=1-.5=.5$ $p(x)=\begin{pmatrix} n \\ x \end{pmatrix}p^xq^{n-x}$ $p(x=10)=\begin{pmatrix} 10 \\ 10 \end{pmatrix}(.5)^{10}(.5)^{0}=\frac{10!}{10!(10-10)!}(.5)^{10}=\frac{10!}{10!}(.5)^{10}=(.5)^{10}$ $p(x=9)=\begin{pmatrix} 10 \\ 9 \end{pmatrix}(.5)^9(.5)^{10-9}=\frac{10!}{9!(10-9)!}(.5)^{10}=\frac{10(9!)}{9!(1!)}(.5)^{10}=10(.5)^{10}$ $p(x\gt8)=p(x=9)+p(x=10)=(.5)^{10}+10(.5)^{10}=11(.5)^{10}=.011$
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