An airline, believing that 5% of passengers fail to show for flights, overbooks (sells more tickets than there are seats). Suppose that for a particular flight involving a jumbo-jet with 260 seats, the airline sells 274 tickets.
a. What is the expected number of ticket holders that will fail to show for the flight?
b. What is the probability that the airline will not have enough seats for all the ticket holders who show for the flight?