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

I say that number one is more reasonable  but 10 miles in one hour, compared to 3 miles in 24 minuets 
and 3*3 = 9 
which is close to ten and 
24 * 3 = 72 minuets 
there are 60 minuets in an hour
so i would say the second option is correct :)