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: 32

Answer

$\mu=1.5$ $\sigma=0.866$

Work Step by Step

Given $p=2/3$, we have $q=1-p=1/3$. Using the formula for a geometric distribution, we have $\mu=1/p=3/2=1.5$ $\sigma=\sqrt {q/p^2}=\sqrt {\frac{1}{3}\times(\frac{3}{2})^2}=0.866$
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