Question

Airline Overbooked: Airlines don't like flights with empty seats. Suppose that, on average, 95 percent of...

Airline Overbooked: Airlines don't like flights with empty seats. Suppose that, on average, 95 percent of all ticket-holders show up for a flight. if the airline sells 105 tickets for a 100-seat flight, what is the probability that the flight will be overbooked?

. Determine how the probability of overbooking varies as the number of tickets sold varies from 100 through 115, Hint Use a one-way data table

. Show how the probability of overbooking varies as the number of tickets sold varies from 100 through 115, and the probability that a ticket holder shows up varies from 80 percent through 95 percent. Hint: Use a two-way data table

Homework Answers

Answer #1

P(overbooked)= P( X>100) = P(X=101)+P(x=102)+P(x=103)+P(104)+P(x=105)

n = 105 p=0.95 q=1-p=0.05

So using binomial distribution we can find above probability by using excel command as follows,

= 1-BINOM.DIST(100,105,0.95,1) =0.3924

P(overbooked)=0.3924

now if the number of ticket sold = 115 that is n=115

So the command is as follows,

P(overbooked) = 1-BINOM.DIST(100,115,0.95,1) =0.9993

And if n=115 and p=0.80 then the command is as follows

P(overbooked) = 1-BINOM.DIST(100,115,0.80,1) = 0.01936

This much probability varies when n and p changes.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Airlines often sell more tickets for a flight than there are seats because some ticket holders...
Airlines often sell more tickets for a flight than there are seats because some ticket holders do not show up for the flight. Assume that an airplane has 170 seats for passengers and that the probability that a person holding a ticket appears for the flight is 0.93. If the airline sells 176 tickets, what is the probability that everyone who appears for the flight will get a seat? a: 0.9625 B: 0.9515 C. 09778 D. 09608
Airlines typically overbook flights because usually several passengers don’t show up. Assume that one airline flies...
Airlines typically overbook flights because usually several passengers don’t show up. Assume that one airline flies jets that seat 200 passengers, and with overbooking, the numbers of passengers that show up are approximately normally distributed with mean 182 and standard deviation 8. (a) What is the probability that there will not be enough seats on any given flight? Hint: How many people need to show in order for there not to be enough seats? (b)What is the 96th percentile of...
An operations manager for a major airline carrier conducts an analysis of overbooked flights. The airline’s...
An operations manager for a major airline carrier conducts an analysis of overbooked flights. The airline’s goal is to have every seat on the aircraft filled by a passenger on each flight. Based on historical data, the airline estimates that 80% of the individuals that have a ticket for a particular flight actually board that flight. In order to compensate for the no shows, the airline overbooks each flight. If the number of individuals with a ticket at the gate...
In this exercise we examine the effects of overbooking in the airline industry. Ontario Gateway Airlines'...
In this exercise we examine the effects of overbooking in the airline industry. Ontario Gateway Airlines' first class cabins have 10 seats in each plane. Ontario's overbooking policy is to sell up to 11 first class tickets, since cancellations and no-shows are always possible (and indeed are quite likely). For a given flight on Ontario Gateway, there were 11 first class tickets sold. Suppose that each of the 11 persons who purchased tickets has a 20% chance of not showing...
Suppose that the probability that a passenger will miss a flight is 0.09560.0956. Airlines do not...
Suppose that the probability that a passenger will miss a flight is 0.09560.0956. Airlines do not like flights with empty​ seats, but it is also not desirable to have overbooked flights because passengers must be​ "bumped" from the flight. Suppose that an airplane has a seating capacity of 5959 passengers.​(a) If 6161 tickets are​ sold, what is the probability that 6060 or 6161 passengers show up for the flight resulting in an overbooked​ flight?​(b) Suppose that 6565 tickets are sold....
Suppose that the probability that a passenger will miss a flight is 0.0976. Airlines do not...
Suppose that the probability that a passenger will miss a flight is 0.0976. Airlines do not like flights with empty​ seats, but it is also not desirable to have overbooked flights because passengers must be​ "bumped" from the flight. Suppose that an airplane has a seating capacity of 59 passengers. ​(a) If 61 tickets are​ sold, what is the probability that 60 or 61 passengers show up for the flight resulting in an overbooked​ flight? The probability of an overbooked...
Suppose that the probability that a passenger will miss a flight is 0.0959. Airlines do not...
Suppose that the probability that a passenger will miss a flight is 0.0959. Airlines do not like flights with empty​ seats, but it is also not desirable to have overbooked flights because passengers must be​ "bumped" from the flight. Suppose that an airplane has a seating capacity of 5353 passengers. ​(a) If 55 tickets are​ sold, what is the probability that 54 or 55 passengers show up for the flight resulting in an overbooked​ flight? ​(b) Suppose that 59 tickets...
Suppose that the probability that a passenger will miss a flight is 0.0916 Airlines do not...
Suppose that the probability that a passenger will miss a flight is 0.0916 Airlines do not like flights with empty​seats, but it is also not desirable to have overbooked flights because passengers must be​ "bumped" from the flight. Suppose that an airplane has a seating capacity of 52 passengers. ​(a) If 54 tickets are​ sold, what is the probability that 53 or 54 passengers show up for the flight resulting in an overbooked​ flight? ​(b) Suppose that 58 tickets are...
Suppose that the probability that a passenger will miss a flight is 0.0913. Airlines do not...
Suppose that the probability that a passenger will miss a flight is 0.0913. Airlines do not like flights with empty​ seats, but it is also not desirable to have overbooked flights because passengers must be​ "bumped" from the flight. Suppose that an airplane has a seating capacity of 52 passengers. ​(a) If 54 tickets are​ sold, what is the probability that 53 or 54 passengers show up for the flight resulting in an overbooked​ flight? ​(b) Suppose that 58 tickets...
Suppose that the probability that a passenger will miss a flight is 0.0905. Airlines do not...
Suppose that the probability that a passenger will miss a flight is 0.0905. Airlines do not like flights with empty​ seats, but it is also not desirable to have overbooked flights because passengers must be​ "bumped" from the flight. Suppose that an airplane has a seating capacity of 54 passengers. ​(a) If 56 tickets are​ sold, what is the probability that 55 or 56 passengers show up for the flight resulting in an overbooked​ flight? ​(b) Suppose that 60 tickets...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT