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from past experience an airline know that, on average, 5% of passengers holding a reservation for a flight will not turn up. their planes hold 90 people, and for each flight, they allow 95 reservations to be made.

a) if the plane is fully booked, what is the exact probability that everyone who shows for a flight can be accomodated?

b) calculate the same probability using a poisson approximation.

c) repeat the process using a normal approximation with and without the correction for continuity

d) compare all the above results

e) how many reservations should be sold , so that the probability that the airline can accomodate everyone who appears is at least 99%

i have no idea what so ever of how to start off. how do i approach this question...

any help will be appreciated.

btw, if this post is in the wrong section, feel free to move it :)