Airline overbooking is a common practice. Many people make reservations on several flights due to uncertain plans and 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 a reservation do not show up for the flight. Suppose that Eagle Air decides to book 18 people for each flight.

Question

Airline overbooking is a common practice. Many people make reservations on several flights due to uncertain plans and 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 a reservation do not show up for the flight. Suppose that Eagle Air decides to book 18 people for each flight.
a) Determine the probability that on any given flight, at least one passenger holding a reservation will not have a seat.
b)What is the probability that there will be one or more empty seats for any one flight?
c) Determine the mean and standard deviation for this random variable.