5 At the Nonland Business College, all students sit an accountancy examination at the end of their first year of study. On average, \(80 \%\) of the students pass this examination.
- A random sample of 9 students who will take this examination is chosen. Find the probability that at most 6 of these students will pass the examination.
- A random sample of 200 students who will take this examination is chosen. Use a suitable approximate distribution to find the probability that more than 166 of them will pass the examination.
- Justify the use of your approximate distribution in part (ii).