Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 5 - Review - Case Study - The Case of the Body in the Bag - Page 319: 6

Answer

$P(both~same~age~category)=\frac{5773}{7285}\approx0.7925$

Work Step by Step

The sample space: $124+619+39+290+5628+480+4+80+21=7285$ cases. That is: $N(S)=7285$ Now: $N(both~Less~Than~18)=124$ $N(both~At~Least~18)=5628$ $N(both~Unknown~age)=21$ $P(both~same~age~category)=P(both~Less~Than~18~or~both~At~Least~18~or~both~Unknown~age)=P(both~Less~Than~18)+P(both~At~Least~18)+P(both~Unknown~age)=\frac{N(both~Less~Than~18)}{N(S)}+\frac{N(both~At~Least~18)}{N(S)}+\frac{N(both~Unknown~age)}{N(S)}=\frac{124}{7285}+\frac{5628}{7285}+\frac{21}{7285}=\frac{5773}{7285}\approx0.7925$
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