Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 5 - Section 5.2 - Assess Your Understanding - Applying the Concepts - Page 277: 29a

Answer

$P(30-39)=\frac{3807}{6427}\approx0.592$ If we randomly select 1000 mothers involved in a multiple birth we would expect about 592 to be mother 30 to 39 years old.

Work Step by Step

N(S) = 6427, N(30-34) = 2262 and N(35-39) = 1545. $P(30-34)=\frac{N(30-34)}{N(S)}=\frac{2262}{6427}$ $P(35-39)=\frac{N(35-39)}{N(S)}=\frac{1545}{6427}$ The events "mother 30 to 34 years old involved in a multiple birth" and "mother 35 to 39 years old involved in a multiple birth" are mutually exclusive. So: $P(30-39) = P(30-34$ or $35-39)$ $P(30-39) = P(30-34) + P(35-39)=\frac{2262}{6427}+\frac{1545}{6427}=\frac{3807}{6427}\approx0.592$
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