(a) How many people (with tickets) does the airline expect to show up for this flight? Provide the standard deviation as well. Enter your answers to two decimals. The expectation of the number of people showing up for the flight ___________ The standard deviation of the number of people who show up for the flight _______ (b) When the flight takes off from YYZ, what is the probability that there will be 5 seats empty? Enter your answer to four decimals. P(5 seats empty) = ____________ (c) What is the chance that a passenger with a flight reservation will not make it to LAX due to overbooking? Use four decimals in your answer.
A certain airline has 168 seats available for a flight from YYZ (Toronto Pearson International Airport) to LAX (Los Angeles International Airport). Because people with reservations do not show up for their flight 14% of the time, the airline always overbooks this flight. That is, there are more passengers that have tickets on the flight than there are seats.
Suppose the airline has 178 passengers booked for 168 seats. Assume one person showing up for the flight does not affect others who may, or may not, show up for this flight.
(a) How many people (with tickets) does the airline expect to show up for this flight? Provide the standard deviation as well. Enter your answers to two decimals.
The expectation of the number of people showing up for the flight ___________
The standard deviation of the number of people who show up for the flight _______
(b) When the flight takes off from YYZ, what is the probability that there will be 5 seats empty? Enter your answer to four decimals.
P(5 seats empty) = ____________
(c) What is the chance that a passenger with a flight reservation will not make it to LAX due to overbooking? Use four decimals in your answer.
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