Thread: Exam Question / need help

1. Exam Question / need help

3-Suppose that you are in charge of marketing airline seats for a major airline company. Four days before the flight you have 12 seats remaining on the plane. But you sell 14 extra tickets (overbooking) as you know from past experience that 70% (0,70) of the people that purchase tickets in this time period will actually show up for the flight.
a-(10 pts) What is the probability that remaining seats will not be suffficient ? Hint: First of all, think about values assumed by X, for which such a situation happens.
b-(10 pts) What is the probability that only 12 of those 14 new passengers will show up for the flight?

TY

2. Re: Exam Question / need help

Do you consider that the persons who booked the today non-remaining seats will necessarily show up for the flight, or is there 30% chance that they will not show up just like the 14 persons who received extra tickets ?

3. Re: Exam Question / need help

Assuming that the passangers decide independently from each other to travel, you can treat this situation as a series of 14 independent trials, each of which has a 70% probability of success. So, what is the probability of having more then 12 successes?

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