Answer
$\frac{7}{4}$
Work Step by Step
By definition, the expected value is the sum of each outcome multiplied by its probability. Hence here the expected value: $\frac{1}{2}\cdot1+\frac{1}{4}\cdot2+\frac{1}{4}\cdot3=\frac{7}{4}$
Thinking Mathematically (6th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0321867327
ISBN 13:
978-0-32186-732-2
Chapter 11 - Counting Methods and Probability Theory - 11.8 Expected Value - Exercise Set 11.8 - Page 754: 1
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