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
[tex]P(X=15)=(0.88)^{15}=0.146[/tex]
No, it is unlikely for such an overbooking to occur.
Hence, our required probability is 0.146.
