The time it takes me to wash the dishes is uniformly distributed between 10 minutes and 15 minutes. What is the probability that washing dishes tonight will take me between 11 and 12 minutes? Give your answer accurate to two decimal places. 20% Question Help: | Video Message instructor Submit Question
The time it takes me to wash the dishes is uniformly distributed between 10 minutes and 15 minutes. What is the probability that washing dishes tonight will take me between 11 and 12 minutes? Give your answer accurate to two decimal places. 20% Question Help: | Video Message instructor Submit Question
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Text Transcription:**
The time it takes me to wash the dishes is uniformly distributed between 10 minutes and 15 minutes. What is the probability that washing dishes tonight will take me between 11 and 12 minutes?
Give your answer accurate to two decimal places.
[Input Box]
20% (X)
**Question Help:**
- [ ] Video
- [ ] Message instructor
[Submit Question Button]
**Explanation:**
The problem describes a uniform distribution for the time it takes to wash dishes, ranging from 10 to 15 minutes. The question asks for the probability that the time will fall between 11 and 12 minutes. Note that the user entered "20%" in the answer box, indicating a calculation attempt, but it was marked incorrect (indicated by the "X").
For a uniform distribution, the probability is calculated as the ratio of the desired interval (11 to 12 minutes) to the total interval (10 to 15 minutes). Therefore, probability = (desired interval length) / (total interval length).
This falls under the educational category of statistics, specifically probability and uniform distributions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F453a4f9e-158e-4776-8057-2046353baf83%2Fdbcec706-6cfb-4953-9027-48d902cdf82a%2Ffdsaje9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Text Transcription:**
The time it takes me to wash the dishes is uniformly distributed between 10 minutes and 15 minutes. What is the probability that washing dishes tonight will take me between 11 and 12 minutes?
Give your answer accurate to two decimal places.
[Input Box]
20% (X)
**Question Help:**
- [ ] Video
- [ ] Message instructor
[Submit Question Button]
**Explanation:**
The problem describes a uniform distribution for the time it takes to wash dishes, ranging from 10 to 15 minutes. The question asks for the probability that the time will fall between 11 and 12 minutes. Note that the user entered "20%" in the answer box, indicating a calculation attempt, but it was marked incorrect (indicated by the "X").
For a uniform distribution, the probability is calculated as the ratio of the desired interval (11 to 12 minutes) to the total interval (10 to 15 minutes). Therefore, probability = (desired interval length) / (total interval length).
This falls under the educational category of statistics, specifically probability and uniform distributions.
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