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.

(a) 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

(b) more than 196 passengers turn up for this flight,

(c) there is at least one empty seat on this flight.