Navtej travels to work by train. A train leaves the station every 7 minutes and Navtej's arrival at the station is independent of when the train is due to leave.
Write down a suitable model for the distribution of the time, \(T\) minutes, that he has to wait for a train to leave.
Find the mean and standard deviation of \(T\)
During a 10-week period, Navtej travels to work by train on 46 occasions.
Estimate the probability that the mean length of time that he has to wait for a train to leave is between 3.4 and 3.6 minutes.
State a necessary assumption for the calculation in part (c).