Question

Miss Dombo, a Ticketing Manager with an Airline flying international routes, has realised
that not all passengers show up for their reserved seat. It is clear to her that each passenger’s
behaviour is independent of the other. Having fixed the chances of a passenger not showing
up at ten in a hundred, she then instructs the Ticketing Office to sell 123 tickets for a flight
that holds only 118 passengers. On the basis of this information, compute, for a particular
flight, the probability that
(a) every passenger who shows up can take the flight. [7]
(b) the flight departs with empty seat(s). [5]
(c) the flight departs with exactly five empty seats. [3]