SOLUTION: . An airline company has two types of airplanes: one for 10 passengers and one for 20 passengers. It is known that 10% of the passengers that buy a ticket do not show up. You may

Algebra ->  Probability-and-statistics -> SOLUTION: . An airline company has two types of airplanes: one for 10 passengers and one for 20 passengers. It is known that 10% of the passengers that buy a ticket do not show up. You may      Log On


   



Question 973371: . An airline company has two types of airplanes: one for 10 passengers and one for 20
passengers. It is known that 10% of the passengers that buy a ticket do not show up.
You may assume that the passengers arrive independently. The airline company allows
overbooking, so it sells 11 tickets in the plane with 10 seats and 22 in the plane with
20 seats.
What is the probability of an overbooked flight of the first airplane?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
An airline company has two types of airplanes: one for 10 passengers and one for 20
passengers. It is known that 10% of the passengers that buy a ticket do not show up.
You may assume that the passengers arrive independently. The airline company allows
overbooking, so it sells 11 tickets in the plane with 10 seats and 22 in the plane with
20 seats.
What is the probability of an overbooked flight of the first airplane?
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P(ticket holder shows up) = 0.9
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P(all 11 ticket holders show up) = 0.9^11 = 0.3138
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Cheers,
Stan H.
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