Answer
$\mu=4$
$\sigma=3.464$
Work Step by Step
Given $p=1/4=0.25$, we have $q=1-p=0.75$
Use the formula for a geometric distribution, we have
$\mu=1/p=4$
$\sigma=\sqrt {q/p^2}=\sqrt {0.75/0.25^2}=3.464$
Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition
by Bluman, Allan
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: 34
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