Question

# Because many passengers who make reservations do not show​ up, airlines often overbook flights​ (sell more...

Because many passengers who make reservations do not show​ up, airlines often overbook flights​ (sell more tickets than there are​ seats). A certain airplane holds

145

passengers. If the airline believes the rate of passenger​ no-shows is

77​%

and sells

156

​tickets, is it likely they will not have enough seats and someone will get​ bumped?

 a. Use the normal model to approximate the binomial to determine the probability of at least 146 passengers showing up. b. Should the airline change the number of tickets they sell for this​ flight? Explain.

Solution:

P(no shows) = 0.77

P(Shows) = 0.23

N(Sell) = 156

a) The probability of at least 146 passengers showing up is 0.3724.

b) Yes, they the airline should change the number of tickets they sell for this, becuase the probability that someone will get bumped is 1 that is greater than 0.05.

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