An airline believes that the probability of a passenger being a no-show on a morning flight is 12%. If the airline overbooks a 300 seat morning flight by selling 350 tickets how many empty seats should the airline expect to have on the flight
To calculate the number of empty seats the airline should expect to have on the flight, we can start by finding the expected number of passengers that will show up for the flight.
First, let's determine the probability of a passenger showing up for the flight. The airline believes that the probability of a passenger being a no-show is 12%, which means the probability of a passenger showing up is 1 - 0.12 = 0.88 or 88%.
Next, we can calculate the expected number of passengers that will show up by multiplying the probability of showing up by the total number of tickets sold. In this case, the number of tickets sold is 350.
Expected number of passengers = 0.88 x 350 = 308
Now, to calculate the number of empty seats, we subtract the expected number of passengers from the total number of seats available on the flight.
Number of empty seats = Total number of seats - Expected number of passengers
= 300 - 308
= -8
Based on these calculations, it seems that the airline should expect to have negative eight empty seats. However, it's not possible to have a negative number of empty seats, so we can conclude that the airline should expect to have zero empty seats on the flight.