Given: A table that shows the result of a survey from 35 randomly selected students at Courtney's school.
Required: To determine the number of votes Rockzilla is expected to receive from a population of 115 students at Courtney's school.
This is achieved thus:
First, we determine the probability of Rockzilla's votes as follows:
[tex]\begin{gathered} Prob.=\frac{Number\text{ }of\text{ }required\text{ }outcome}{Number\text{ }of\text{ }total\text{ }outcome} \\ Prob.=\frac{6}{35} \end{gathered}[/tex]
Next, we determine the number of votes Rockzilla is expected to receive as follows:
[tex]\begin{gathered} Expected\text{ }votes=\frac{6}{35}\times115 \\ Expected\text{ }votes\approx20 \end{gathered}[/tex]
Hence, the answer is:
[tex]20[/tex]
