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An airline sells 338 tickets for an Airbus A330-300 flight to Hong Kong which has the...

An airline sells 338 tickets for an Airbus A330-300 flight to Hong Kong which has the capacity of 335 seats. It is estimated that in the past 97% of all ticketed passengers showed up for the flight

a) Find the probability that the flight will accommodate all ticketed passengers who showed up?

b) Find the probability that the flight will depart with empty seats.

c) If you are the third person on the stand by list (i.e., you will be the third person to get on the plane if there are available seats), find the probability that you will be able to take the flight.

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