Question 313052: An airline estimates that 89% of people booked on their flights actually show up. a) If the airline books 47 people on a flight for which maximum number is 45, what is the probability that the number of people who show up will exceed the capacity of the plane? b) Is this probability low enough so that overbooking is not a real concern for passengers?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! An airline estimates that 89% of people booked on their flights actually show up.
a) If the airline books 47 people on a flight for which maximum number is 45, what is the probability that the number of people who show up will exceed the capacity of the plane?
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Binomial Problem with n=47, p = 0.89
P(46<= x <=47) = 1-binomcdf(47,0.89,45) = 0.0285
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b) Is this probability low enough so that overbooking is not a real concern for passengers?
I'll leave that decision to you.
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Cheers,
Stan H.
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