Question

An airline knows that, on average, the probability that a passenger will not show up for a flight is 6%. If an airplane is fully booked and holds 300 passengers, how many seats are expected to be empty?if the airline overbooked the flight by 10 passengers, about how many passengers are expected to show up for a flight

Answer 1

a) Number of seats expected to be empty = 18

b) Number of passengers expected to show up for the flight = 291

Step-by-step explanation:

Step 1:

Probability that a passenger will not show up for the flight = 6%

Total capacity of the flight when fully booked = 300

Step 2 :

a)

Number of seats expected to be empty = 6% of 300 = $\frac{6}{100}$ × 300 = 18

b)

Number of passengers over booked = 10

Probability that a passenger will turn up for a flight  = 100 - 6% = 94%

Number of passengers when the flight is overbooked = 300 + 10 = 310

Hence number of passengers who are expected to show up for the flight = 94% of 310 =  $\frac{94}{100}$ × 310  = 291.4 = 291 (rounded of whole number as this represents number of passengers)

Step 3 :

Answer :

a) Number of seats expected to be empty = 18

b) Number of passengers expected to show up for flight = 291