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 noshows 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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