To solve this question, first we need to start building the probability distribution table, taking into account that the possible X are 8, 23 and 36. and that there were 10 ratings.
The probability distribution should look like this
Using the probability distribution apply the formula for the expected value
[tex]E(x)=\sum ^n_{i\mathop=1}(x_i)(p(x_i))[/tex]according to this the expected value is
[tex]\begin{gathered} E(x)=8\cdot\frac{3}{10}+23\cdot\frac{4}{10}+36\cdot\frac{3}{10} \\ E(x)=\frac{24}{10}+\frac{92}{10}+\frac{108}{10} \\ E(x)=\frac{224}{10} \\ E(x)=22.4 \end{gathered}[/tex]The expected value is 22.4
