A commuter airline deliberately overbooks fights, figuring that only 75% of passengers with reservations show up for

Question:

A commuter airline deliberately overbooks fights, figuring that only 75% of passengers with reservations show up for its fights. It files small propeller planes that carry 20 passengers.
(a) In order to use a binomial model in this problem, what assumptions are necessary? Are these reasonable?
(b) If the airline allows 25 passengers to book reservations for a fight, what is the probability that the fight will be oversold? Do not use the probability and instead think about the mean and shape of the binomial Find the probability of overbooking. Did the rough approach taken in part (b) get close enough to the right answer?
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