Answer
The probability that a randomly selected student attends a private college among people from a middle-income family is $\frac{5}{16}$.
Work Step by Step
The probability that a student attends private college from a middle income family is:
$\begin{align}
& \text{P}\left( \text{private college, middle income family} \right)\text{ = }\frac{\text{students attend priavate college}}{\text{students from middle-income family}} \\
& =\frac{50}{160} \\
& =\frac{5}{16}
\end{align}$