An airline has a policy of booking as many as 23 persons on an airplane that can seat only 22. (past studies have revealed that only 85.0% of the booked passengers actually arrive for the flight.) find the probability that if the airline books 23 persons, not enough seats will be available. is it unlikely for such an overbooking to occur?

The probability that the airline books 23 people is 0.024. We can consider that overbooking is something unlikely to occur.

Step-by-step explanation:

This is binomial experiment so we can use the probability fuction of a binomial distribution:

P(x)=·pˣ·(1-p)ⁿ⁻ˣ

whrere:

p: is the probability of a passenger arrive for the flight (0.85)

n: number of experiments

Hence;

P(x=23)=·(0.85)²³·(1-0.85)²³⁻²³

P(x=23)=(0.85)²³=0.024

square root

step-by-step explanation: