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