Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 5 - Section 5.3 - Assess Your Understanding - Applying the Concepts - Page 284: 11

Answer

$P(5~heads)=\frac{1}{32}=0.03125$

Work Step by Step

$P(head)=\frac{1}{2}=0.5$ Now, using the Multiplication Rule. See page 282. $P(5~heads)=$ $P(heads~on~Flip~1~and~heads~on~Flip~2~and~heads~on~Flip~3~ \\and~heads~on~Flip~4~and~heads~on~Flip~5) =$ $P(heads~on~Flip~1)\times P(heads~on~Flip~2)\times P(heads~on~Flip~3)\times P(heads~on~Flip~4)\times P(heads~on~Flip~5)=[P(heads)]^{5}=(\frac{1}{2})^{5}=\frac{1}{32}=0.03125$
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