What is the variance of the number of quiz answers the guessing student gets right?

Explanation

1. 01

   $n = 5$, $p = \frac{1}{4}$, $q = \frac{3}{4}$.

2. 02

   Variance $= npq = 5 \times \frac{1}{4} \times \frac{3}{4} = \frac{15}{16}$.