Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 11 - Counting Methods and Probability Theory - Chapter Summary, Review, and Test - Review Exercises - Page 761: 107

Answer

3.125

Work Step by Step

To find the expected value, we multiply every possible outcome by its probability and add the products. In this case, E= $1\times\frac{1}{4}+2\times\frac{1}{8}+3\times\frac{1}{8}+4\times\frac{1}{4}+5\times\frac{1}{4}$ $= \frac{1}{4}+\frac{2}{8}+\frac{3}{8}+\frac{4}{4}+\frac{5}{4}=\frac{2+2+3+8+10}{8}= \frac{25}{8}$=3.125
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