Statistics - Poisson distribution.

Click For Summary
SUMMARY

The discussion revolves around estimating the total number of marbles in five boxes using the Poisson distribution, given that two boxes contain no marbles. The Poisson distribution is a statistical tool used for modeling the number of events in a fixed interval of time or space, particularly when these events occur with a known constant mean rate and independently of the time since the last event. The user successfully solved the problem independently but did not share the solution process or results in the forum.

PREREQUISITES
  • Understanding of Poisson distribution principles
  • Basic knowledge of statistical estimation techniques
  • Familiarity with probability theory
  • Ability to interpret statistical problems
NEXT STEPS
  • Study the properties and applications of the Poisson distribution
  • Learn how to calculate expected values using Poisson distribution
  • Explore real-world examples of Poisson processes
  • Investigate other statistical distributions for comparison, such as the Binomial distribution
USEFUL FOR

Students, statisticians, and data analysts who are interested in probability theory and statistical modeling, particularly those looking to apply the Poisson distribution in practical scenarios.

x12179x
Messages
25
Reaction score
0
(Not sure if I should have posted this in the h/w problem section since it's not really hw...just a problem I've faced recently. But if it should be there, I can move it there. )

There are 5 boxes.

Each box may contain a certain amount of marbles (1, 2, 3 etc.) and some have no marbles at all. You know that 2 of the 5 boxes contain no marbles at all. No other information is given.

Using the poisson distribution, approximately how many marbles are there estimated to be total in the 5 boxes?

How would any of you guys would go about solving this problem?
 
Physics news on Phys.org
Nevermind, I figured it out.

Not sure how to delete this post though...
 

Similar threads

Graduate LogLikelihood - Poisson distribution
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad How to Find the Distribution of T for Competing Poisson Processes
  • · Replies 7 ·
Replies
7
Views
2K
Graduate What exactly is a "rare event"? (Poisson point process)
  • · Replies 12 ·
Replies
12
Views
4K
Graduate Negative Poisson-Binomial Distribution
  • · Replies 14 ·
Replies
14
Views
6K
Undergrad Poisson distribution with conditional probability
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad Calculating Probability of 3 Pennies in 30 Boxes Using Poisson Distribution
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Calculating Probability with Poisson Distribution: Radioactive Source Counts
  • · Replies 4 ·
Replies
4
Views
2K
High School Poisson Distribution - Selecting cookies that are indistinguishable
  • · Replies 1 ·
Replies
1
Views
2K
Graduate When/how to reject Poisson distribution hypothesis?
  • · Replies 15 ·
Replies
15
Views
3K
MHB Could use help, know the answers but with the process and equations
  • · Replies 2 ·
Replies
2
Views
3K