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 279: 42d

Answer

P(employed or male) $=\frac{11151}{17042}\approx0.654$

Work Step by Step

The sample space (in thousands): $2328+2509+898+654+5416+5237=17042$ individuals of the civilian labor force ages 16 to 19. So, N(S) = 17042. There were a total of $2328+2509=4837$ employed individuals of the civilian labor force ages 16 to 19. So, N(employed ) = 4837 (in thousands). There were a total of $2328+898+5416=8642$ male individuals of the civilian labor force ages 16 to 19. So, N(male) = 8642 (in thousands). According to the cell in the first row, first column: N(employed and male) = 2328 (in thousands). P(employed or male) = P(employed) + P(male) - P(employed and male) = $\frac{N(employed)}{N(S)}+\frac{N(male)}{N(S)}-\frac{N(\text{employed and male})}{N(S)}=\frac{4837}{17042}+\frac{8642}{17042}-\frac{2328}{17042}=\frac{11151}{17042}\approx0.654$
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