Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 6 - Section 6.2 - Assess Your Understanding - Applying the Concepts - Page 346: 52c

Answer

$P(29)=0.334$ It is close to the results obtained in b). (Other simulations are possible, but it is not expected that the results are going to be very different)

Work Step by Step

$P(x)={}_nC_{x}~p^x~(1-p)^{n-x}$ $n = 30$, $p=0.98$ and $1-p=0.02$ $P(29)={}_{30}C_{29}\times0.98^{29}\times0.02^1=\frac{30!}{29!\times1!}\times0.98^{29}\times0.02=0.334$
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