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Based on long experience, an airline has found that about 6% of the people making reservations on a flight from Miami to Denver do not show up for the flight. Suppose the airline overbooks this flight by selling 267 ticket reservations for an airplane with only 255 seats.

[A] Probability that someone with a reservation will show up for the flight?

[B] Let n = 267 represent the number of ticket reservations. Let r represent the number of people with reservations who show up for the flight. Which expression represents the probability that a seat will be available for everyone who shows up holding a reservation?

[C] Use the normal approximation to the binomial distribution and part (b) to answer the question: What is the probability that a seat will be available for every person who shows up holding a reservation?

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