Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 7 - Section 7.4 - Expected Value and Variance - Exercises - Page 493: 28

Answer

$\frac{25}{18}$

Work Step by Step

We know that the variance of the number of success in Bernoulli trails is given as $npq$. As we have $6$ on the dice with the probability $p=\frac{1}{6}$, thus $q=1-\frac{1}{6}=\frac{5}{6}$ and we throw the dice 10 times, so the required variance calculated as $npq=10\times \frac{1}{6}\times \frac{5}{6}=\frac{25}{18}$
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