4. The heights of the students at a university are assumed to follow a normal distribution. \(1 \%\) of the students are over 200 cm tall and 76\% are between 165 cm and 200 cm tall. Find
- the mean and the variance of the distribution,
- the percentage of the students who are under 158 cm tall.
- Comment briefly on the suitability of a normal distribution to model such a population.
\section*{STATISTICS 1 (A) TEST PAPER 3 Page 2}