Answer
$\frac{23}{8}$
Work Step by Step
By definition, the expected value is the sum of each outcome multiplied by its probability. Hence here the expected value: $\frac{1}{8}\cdot1+\frac{1}{8}\cdot2+\frac{1}{2}\cdot3+\frac{1}{4}\cdot4=\frac{23}{8}$
