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Recently the habit of overbooking on flights has become an issue. Airlines do ov

ID: 3232920 • Letter: R

Question

Recently the habit of overbooking on flights has become an issue. Airlines do overbooking since they have data on how often booked passengers will not arrive on time to take their flights. The probability that people who are overbooked will actually get a seat on the plane is found to be 78%. Your flight has 7 overbooked passengers and you are number 4. What is the probability that 4 out of the 7 overbooked passengers will actually get on the plane? (Since you are the 4th, will you take the offer of $1,000 and a later flight to not travel on this one?)

Explanation / Answer

probability that people who are overbooked will actually get a seat on the plane = 0.78

probability that people who are overbooked will not get a seat on the plane = 0.22

number of overbooked = 7

ours number = 4

Probability of 4 out of them getting the tickets = 0.78 * 0.78 * 0.78 * 0.78 = 0.37015

Yes i would take the offer and a latter flight