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2.6-II. An airline always overbooks if possible. A particular plane has 95 seats on a flight in
which a ticket sells for $300. The airline sells 100 such tickets for this flight. (a) If the
probability of an individual not showing up is 0.05 , assuming independence, what is the
probability that the airline can accommodate all the passengers who do show up? (b) If the
airline must return the $300 price plus a penalty of $400 to each passenger that cannot get on the
flight, what is the expected payout (penalty plus ticket refund) that the airline will pay?

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