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Airline overbooking is a common practice. Many people make reservations on several flights due to uncertain plans and cancel at the last minute or simply fail to show up. Eagles Air is a small commuter airline. Their planes hold only 15 people. Past records indicate that 20% of the people making reservation do not show up for the flight.
Hint: think binomial
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 the standard deviation of this random variable
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