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 - 5-4 Other Types of Distributions - Extending the Concepts - Page 300: 31

Answer

$\mu=1.25$ $\sigma=0.559$

Work Step by Step

Given $p=4/5=0.8$, we have $q=1-p=0.2$. Using the formula for a geometric distribution, we have $\mu=1/p=5/4=1.25$ and $\sigma=\sqrt {q/p^2}=\sqrt {0.2/0.8^2}=0.559$
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