An airline company is considering booking as many as 400 people on an airplane that can seat only 350 people. (Its past studied show that only 85% of the booked passengers actually arrive for the flight.). Estimate the probability that if the airline books 400 people, not enough seats will be available.
Thanks for your help.Can anyone help me figure out the formula for this stats problem%26gt;?
Your question doesn't really supply all the data needed to solve it.
But let's go a bit further with what we've been given.
You state that on average only 85% of booked passengers actually show.
Given that if we book 400 passengers the average number that would show is 400 times .85 or 340.
The overall probability is that the airline SHOULD have enough seats.
But that's NOT the entire answer...
What kind of a distribution is there to the no-show rate?
What is the standard deviation?
Only after we know those things can we estimate what the probability of any particular flight not having enough seats.
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