Binomial Distribution - Assumptions

Click For Summary
SUMMARY

The discussion centers on the application of the binomial distribution to model the scenario of airline bookings, where the probability of a passenger not showing up is 0.04. A key assumption in this context is that each booking is an independent trial, meaning the outcome of one booking does not affect another. This assumption is critical for the validity of using the binomial distribution, particularly given that there are 55 bookings for a plane with only 50 seats. The participants emphasize the necessity of understanding the independence of trials when applying this statistical model.

PREREQUISITES
  • Understanding of binomial distribution principles
  • Knowledge of probability theory, specifically independent events
  • Familiarity with statistical modeling techniques
  • Basic concepts of airline booking systems and overbooking strategies
NEXT STEPS
  • Study the properties of binomial distributions in detail
  • Learn about the concept of independent trials in probability
  • Explore real-world applications of binomial distribution in business scenarios
  • Investigate alternative statistical models for dependent events
USEFUL FOR

Statisticians, data analysts, airline operations managers, and anyone involved in modeling probabilities in booking systems will benefit from this discussion.

Peter G.
Messages
439
Reaction score
0
Hi,

An airline knows from past experience that the probability of a person booking a seat and then not turning up is 0.04. A small plane has 50 seats and 55 bookings are made.

a) A binomial distribution is used to model this situation. What assumption must be made? Comment on how reasonable this assumption must be made

I really don't know how to answer this, due to the fact my book does not give me much information on Binomial Distribution, just several examples. The only restriction I know of is that there must be Yes and No experiments. In that case, the assumption here would be that no passenger does not book and show up...

Can anyone give me any tips?

Thanks,
Peter G.
 
Physics news on Phys.org
Peter G. said:
Hi,

An airline knows from past experience that the probability of a person booking a seat and then not turning up is 0.04. A small plane has 50 seats and 55 bookings are made.

a) A binomial distribution is used to model this situation. What assumption must be made? Comment on how reasonable this assumption must be made

I really don't know how to answer this, due to the fact my book does not give me much information on Binomial Distribution, just several examples. The only restriction I know of is that there must be Yes and No experiments. In that case, the assumption here would be that no passenger does not book and show up...

Can anyone give me any tips?

Thanks,
Peter G.

The binomial distribution is about repeated trials. But look again in your text. You will find an adjective modifying the word trials.
 

Similar threads

What Is the Probability That Exactly 3 Out of 8 Children Are Girls?
  • · Replies 2 ·
Replies
2
Views
2K
Poisson Distribution -- Rental of a number of television sets
  • · Replies 13 ·
Replies
13
Views
3K
MHB Binomial probability or poisson?
  • · Replies 1 ·
Replies
1
Views
2K
High School Does the binomial distribution play a role determining p from data?
  • · Replies 4 ·
Replies
4
Views
2K
Why isn't this a binomial distribution?
  • · Replies 13 ·
Replies
13
Views
2K
Maximizing Revenue: Solving a Probability Problem in Statistics and Probability
  • · Replies 3 ·
Replies
3
Views
2K
Calculating Overbooking Probability for a Plane with Independent Passengers
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Calculation of probabilities assuming correlation between events
  • · Replies 9 ·
Replies
9
Views
2K
Hypothesis Testing: Binomial Experiment
  • · Replies 1 ·
Replies
1
Views
2K
Binomial Distribution for successive events
  • · Replies 5 ·
Replies
5
Views
2K