3. An airline knows that overall \(3 \%\) of passengers do not turn up for flights. The airline decides to adopt a policy of selling more tickets than there are seats on a flight. For an aircraft with 196 seats, the airline sold 200 tickets for a particular flight.
- Write down a suitable model for the number of passengers who do not turn up for this flight after buying a ticket.
By using a suitable approximation, find the probability that
- more than 196 passengers turn up for this flight,
- there is at least one empty seat on this flight.