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 299: 28

Answer

16

Work Step by Step

The probability of getting a 5 is $p=1/8=0.125$. Let $k=2$ be the number of successes of getting 5s, using the negative binomial distribution formula, we have $\mu=\frac{k}{p}=\frac{2}{0.125}=16$ Thus, the average number of rolls it takes to get two 5s is $16$.
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