Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education
ISBN 10: 0078136334
ISBN 13: 978-0-07813-633-7

Chapter 5 - Discrete Probability Distributions - Chapter Quiz - Page 308: 31

Answer

a. $0.16$ b. $0.42$ c. $0.07$

Work Step by Step

Use the hypergeometric formula or use the procedure below. Total possible combinations of 4 out of 14 is $_{14}C_4=1001$ a. 3 are girls Favorable outcomes $_6C_3\times_8C_1=160$ $p=160/1001=0.16$ b. 2 are girls Favorable outcomes $_6C_2\times_8C_2=420$ $p=420/1001=0.42$ c. 4 are boys Favorable outcomes $_6C_0\times_8C_4=70$ $p=70/1001=0.07$
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