Scuphanit Vinavong of booking as many as 22 persons on an airplane that can seat

Question

Scuphanit Vinavong of booking as many as 22 persons on an airplane that can seat only 20. (Past studies have revealed that only 86% of the booked passengers actually arrive for the flight. Find the probability that if Air-USA books 22 persons, not enough seats will be available prob Is this probability low enough so that overbooking is not a real concern for passengers if you define unusual as 5% or less? no, it is not low enough to not be a concen yes, it is low enough not to be a concern What about defining unusual as 10% or less? yes, it is low enough not to be a concern no, it is not low enough to not be a concern

Explanation / Answer

Solution:-

p = 86/100

p = 0.86

a) The probability that if AiR USA books 22 seats there would not be enough seats for passeneger is 0.1659.

n = 22

x = 20

By applying binomial distributiion:-

P(x,n) = nCx*px*(1-p)(n-x)

P(x > 20) = 0.1659

No, it is not low enough to not to be concern at 5%.

No, it is not low enough to not to be concern at 10%.

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