Question 912245: On a certain daily flight, Air Northeast has a policy of booking as many as 22 people on an airplane that can seat only 19. Past studies have revealed that only 89% of the booked passengers actually arrive for the flight. If the airline books 22 people on a flight, find the probability that there will not be enough seats available for all booked passengers. Show sufficient work to justify answer.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! On a certain daily flight, Air Northeast has a policy of booking as many as 22 people on an airplane that can seat only 19. Past studies have revealed that only 89% of the booked passengers actually arrive for the flight. If the airline books 22 people on a flight, find the probability that there will not be enough seats available for all booked passengers. Show sufficient work to justify answer.
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There will not be enough seats if 20 people show up for the flight.
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P(x = 20) = 22C20(0.89)^20*(0.11)^2 = 0.2718
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Cheers,
Stan H.
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