Mod2 JMP Assignment
.docx
keyboard_arrow_up
School
Baylor University *
*We aren’t endorsed by this school
Course
5435
Subject
Industrial Engineering
Date
Feb 20, 2024
Type
docx
Pages
3
Uploaded by BaronAnteater2002
Module 2
JMP Assignment
[Problem 1]
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 exceeds the capacity of the aircraft, the airline must offer compensation to any individual willing to surrender their ticket. The airline will continue to increase this compensation until the number of individuals with tickets equals the capacity of the aircraft. As the date of each flight approaches, the airline must determine how many tickets to sell. If a flight has 20 open seats remaining four days before the flight date, how many tickets should the airline sell in order to fill as many seats as possible while keeping the likelihood of overbooking less than 0.15?
Hint: Think of a passenger showing up for the flight as a success and the number of tickets sold as independent trials. Your task is to determine how many trials should be conducted.
[a]
What is the name of the distribution that you used to model this problem? -
The binomial probability formula
[b]
What is the value of the parameter p of this distribution?
-
0.8
[c]
Use the JMP Distribution and Probability Calculator
to find P
(
x
>
20
)
when the airline sells 22 tickets. Paste a screenshot of the JMP Distribution and Probability Calculator
with inputs and graph below.
1
Module 2
JMP Assignment
[d]
Use the JMP Distribution and Probability Calculator
to find P
(
x
>
20
)
when the airline sells 24 tickets. Paste a screenshot of the JMP Distribution and Probability Calculator
with inputs and graph below.
[e]
Use the JMP Distribution and Probability Calculator
to find P
(
x
>
20
)
when the airline sells 23 tickets. Paste a screenshot of the JMP Distribution and Probability Calculator
with inputs and graph on the below.
[f]
Based on your analysis in parts c, d, and e, how many tickets should the airline sell?
-
22
[Problem 2]
A coin collector has found 20 rare coins at a local shop. The coins are similar, except that five of them are very good counterfeits. The collector purchases three coins. What is the probability that the collector purchased more than one of the counterfeit coins?
[a]
What is the name of the distribution that models this scenario best?
2
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help