An airline has a policy of booking as many as 15 persons on an airplane that can seat only 14. (past studies have revealed that only 88.0% of the booked passengers actually arrive for the flight.) find the probability that if the airline books 15 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 it unlikely for such an overbooking to occur?

No, it is unlikely for such an overbooking to occur.

Our required probability is 0.146.

Step-by-step explanation:

Since we have given that

Number of persons on an airplane book = 15

Probability of booked passengers actually arrive for the flight = 88%

We need to find the probability that if the airline books 15 persons, not enough seats will be available.

We will use "Binomial distribution":

Probability would be

No, it is unlikely for such an overbooking to occur.

Hence, our required probability is 0.146.