Edexcel S2 2002 January — Question 3

Exam BoardEdexcel
ModuleS2 (Statistics 2)
Year2002
SessionJanuary
TopicApproximating Binomial to Normal Distribution
TypeOverbooking probability problems

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.
  1. 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
  2. more than 196 passengers turn up for this flight,
  3. there is at least one empty seat on this flight.