Question 955213: Musquodoboit World Airways operates a fleet of small passenger planes. Like most major airlines it has a
problem with no-shows, people who make reservations, but don't show up for their flight or cancel at the
last minute. Their no-show rate is 20%, comparable to the industry average. One type of aircraft used by
MWA can accommodate up to 16 passengers.
a) If they accept 16 reservations, what is the probability that the plane departs with every seat filled (0 noshows)?
b) As is common in the industry, MWA overbooks its flights. For this size aircraft, it accepts up to 17
reservations. Suppose that MWA has accepted 17 reservations for a particular flight. What is the
probability that everyone who shows up will get a seat?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Musquodoboit World Airways operates a fleet of small passenger planes. Like most major airlines it has a problem with no-shows, people who make reservations, but don't show up for their flight or cancel at the
last minute. Their no-show rate is 20%, comparable to the industry average. One type of aircraft used by MWA can accommodate up to 16 passengers.
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Binomial Problem with n = 16 and p(no show) = 0.2 ; p(show) = 0.8
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a) If they accept 16 reservations, what is the probability that the plane departs with every seat filled (0 noshows)?
P(x = 0) = 0.8^16 = 0.02815
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b) As is common in the industry, MWA overbooks its flights. For this size aircraft, it accepts up to 17 reservations. Suppose that MWA has accepted 17 reservations for a particular flight. What is the probability that everyone who shows up will get a seat?
P(at least 1 no-show out of 17) = 1 - P(0 no-shows out of 17)
= 1 - binompdf(17,0.2,0) = 0.9775
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Cheers,
Stan H.
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