Airline overbooking is a common practice. Many people make reservations upon various flights because of uncertain plans as well as then cancel at the last minute or simply fail to show up. Eagle Air is small commuter airline. Their planes hold only 25 people. Past records indicate that 20% of the people making the reservation don't show up for the flight. Assume that Eagle Air decides to book 18 people for each flight.
a) Find out the probability that on any given flight, at least one passenger holding the reservation will not have a seat.
b) Determine the probability that there will be one or more empty seats for any one flight?
c) Find out the mean and standard deviation for this random variable.