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22. An airline has a policy of booking as many as 18 persons on an airplane that

ID: 3306891 • Letter: 2

Question

22. An airline has a policy of booking as many as 18 persons on an airplane that can seat only 17. (Past studies have revealed that only 84 0% of the booked passengers actually arrive for the flight.) Find the probability that if the airline books 18 persons, not enough seats will be available. Is it unlikely for such an overbooking to occur? The probability that not enough seats will be available is Round to four decimal places as needed.) Is it unlikely for such an overbooking to occur? A. It is not unlikely for such an overbooking to occur, because the probability of the overbooking is less than or equal to than 0.05 less than or equal to than 0.05. greater than 0.05. greater than 0.05 O B. It is unlikely for such an overbooking to occur, because the probability of the overbooking is O C. It is not unlikely for such an overbooking to occur, because the probability of the overbooking its D. It is unlikely for such an overbooking to occur, because the probability of the overbooking is

Explanation / Answer

Probability that a passenger will arrive = 0.84

=> Probability that all 18 people will arrive = 0.8418 = 0.0434

The probability that not enough seats will be available = 0.0434

The correc option is B. It is unlikely for such an overbooking to occur since , because the probability of the overbooking is less than or equal to 0.05.

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