Question 255298: when someone buys a airline flight, there is a .0995 problability that the person wont show up for the flight.An agents wants to book 24 persons on an airplane that can only fit 22. if the 24 are booked find the problability that not enought seats will be available. is the problability low enouhg so that the overbooking is not a real concern?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! when someone buys a airline flight, there is a .0995 problability that the person wont show up for the flight.
An agent wants to book 24 persons on an airplane that can only fit 22. if the 24 are booked find the problability that not enough seats will be available.
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A binomial problem with n = 24, p = 1-0.0995, 23<= x <=24
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Prob(more than 22 will show) = 1 - binomcdf(24,0.8905,22) = 0.295 or 29.5%
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Is the probability low enough so that the overbooking is not a real concern?
No, since the probability of having more that 22 passengers is to high
to be acceptable to the airline.
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Cheers,
Stan H.
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