Question

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___
Is it unlikely for such an overbooking to​ occur?

Answer 1

Answer: 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

$P(X=15)=(0.88)^{15}=0.146$

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

Hence, our required probability is 0.146.