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: 27

Answer

12

Work Step by Step

The probability of drawing a club from a deck of cards is $p=\frac{13}{52}=0.25$, let $k=3$ be the number of successes, based on the negative binomial distribution formula, we have $\mu=\frac{k}{p}=\frac{3}{0.25}=12$ Thus, the average number of trials needed to get 3 clubs is $12$.
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