n contains four lobsters? contains more than five lobsters? What is the probability he trapped between 85 and 1
n contains four lobsters? contains more than five lobsters? What is the probability he trapped between 85 and 1
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Random Variables - Question 3
Please solve with simple probability rules
Transcribed Image Text:### Data Analysis: Lobster Trapping Statistics
#### Context:
Data collected by Erik, a lobsterman in Maine, indicates that he traps an average of 4.8 lobsters per pot (i.e., trap).
#### Problems:
1. **What is the probability the next pot Erik pulls in contains four lobsters?**
2. **What is the likelihood the next pot Erik pulls in contains more than five lobsters?**
3. **On a particular morning, Erik pulls in 20 pots. What is the probability he trapped between 85 and 110 lobsters?**
---
**Explanation:**
These questions are related to probabilities involving a Poisson distribution, which is often used to model the number of events (in this case, the number of lobsters) occurring within a fixed interval of time or space.
Understanding the Poisson distribution’s application to Erik’s lobster trapping data can help solve the given problems:
- **Average (λ):** The average number of lobsters per pot is 4.8.
- **Events:** The number of lobsters per pot is an event.
By applying appropriate Poisson probability formulas, these questions can be solved to determine the likelihood of each scenario based on Erik's data.
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