5 The probability that a driver passes an advanced driving test is 0.3 on any given attempt.
- Dipak keeps taking the test until he passes. The random variable \(X\) denotes the number of attempts required for Dipak to pass the test.
- Find \(\mathrm { P } ( 2 \leqslant X \leqslant 6 )\).
- Find \(\mathrm { E } ( X )\).
Five friends will each take their advanced driving test tomorrow.
- Find the probability that at least three of them will pass tomorrow.
75 people will take their advanced driving test next week.
[0pt] - Use an approximation to find the probability that more than 20 of them will pass next week. [5]