Answer:
The total probability is 13.15%
Step-by-step explanation:
Consider the provided information.
Air-USA has a policy of booking as many as 24 persons on an airplane that can seat only 22.
Studies have revealed that only 86% of the booked passengers actually arrive for the flight.
Therefore, the probability of a person arrive is 0.86
Find the probability that if Air-USA books 24 persons, not enough seats will be available.
That means either 23 person arrive or 24 person arrive.
Probability that 23 persons arrive = [tex]^{24}C_{23}(0.86)^{23}(0.14)=0.1047[/tex]
Probability all 24 person arrive = [tex](0.86)^{24}=0.0268[/tex]
Total probability is: [tex]0.1047+0.0268=0.1315[/tex]
Hence the total probability is 13.15%
So, in both cases its not low enough