An airline, believing that 5% of passengers fail to show up for flights, overbooks (sells more tickets than there are seats). Suppose a plane will hold 265 passengers, and the airline sells 275 tickets. What's the probability the airline will not have enough seats, so someone gets bumped?

Question

Mathematics

Aurora Patel

3 December, 08:37

An airline, believing that 5% of passengers fail to show up for flights, overbooks (sells more tickets than there are seats). Suppose a plane will hold 265 passengers, and the airline sells 275 tickets. What's the probability the airline will not have enough seats, so someone gets bumped?

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Answers (1)

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Sherlyn Mack · Answer 1

0.0377

Step-by-step explanation:

Some passengers of the airline won't have seats if all the 265 passengers shows up.

Number of extra passengers = 275 - 265 = 10

Total number of seats = 265

Probability = 10 : 265 = 0.037735849056

Approximately 0.0377