5. Cars stop at a service station randomly at a rate of 3 every 5 minutes.
- Calculate the probability that in a randomly selected 10 minute period,
- exactly 7 cars will stop at the service station,
- more than 7 cars will stop at the service station.
Using a normal approximation, the probability that more than 40 cars will stop at the service station during a randomly selected \(n\) minute period is 0.2266 correct to 4 significant figures.
- Find the value of \(n\).