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Airline A sells n tickets for an n-1 seat plane, while Airline B sells 2n tickets for an n-2 seat plane. Airline B is more likely to be overbooked since it sells twice as many tickets as seats, while Airline A only sells one more ticket than seats.

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0% found this document useful (0 votes)
62 views2 pages

2

Airline A sells n tickets for an n-1 seat plane, while Airline B sells 2n tickets for an n-2 seat plane. Airline B is more likely to be overbooked since it sells twice as many tickets as seats, while Airline A only sells one more ticket than seats.

Uploaded by

Dessa Gudito
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© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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2.

Airlines find that each passenger who reserves a seat fails to turn up with probability q independently
of the other passengers. So Airline A always sell n tickets for their n−1 seat aeroplane while Airline B
always sell 2n tickets for their n − 2 seat aeroplane. Which is more often over-booked?

Airlines find that each passenger who reserves a seat fails to turn up with probability to independently
of the other passengers. So Teeny Weeny Airlines always sell 10 tickets for their 9 seat aeroplane while
Blockbuster Airways always sell 20 tickets for their 18 seat aeroplane. Which is more often over-
booked?

Algorithm:

1. Input the number of people in Airline A and Airline B


2.
3. Output of which of the airlines is often over-booked
4. Each member of a group of n players rolls a die.

(a) For any pair of players who throw the same number, the group scores 1 point. Find the mean and
variance of the total score of the group.

(b) Find the mean and variance of the total score if any pair of players who throw the same number
scores that number.

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