Suppose that 54% of people own dogs. If you pick two people at random, what is the that they both own a dog? Give your answer as a decimal (to at least 3 places) or fraction
Suppose that 54% of people own dogs. If you pick two people at random, what is the that they both own a dog? Give your answer as a decimal (to at least 3 places) or fraction
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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![**Problem Statement:**
Suppose that 54% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?
Give your answer as a decimal (to at least 3 places) or fraction.
[Submit Question Button]
**Instructions for Submission:**
- Convert the percentage of dog owners into a probability.
- Determine the probability that both selected individuals own a dog.
- Provide your answer as a decimal rounded to at least three decimal places or as a fraction.
- Once determined, enter your answer in the provided input space and press "Submit Question" to confirm your response.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca47ae4d-ce34-45e7-bd45-898f28512ab4%2F1575a4b3-090a-4b0c-b268-14f2e195ee09%2Ff9ediy9.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Suppose that 54% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?
Give your answer as a decimal (to at least 3 places) or fraction.
[Submit Question Button]
**Instructions for Submission:**
- Convert the percentage of dog owners into a probability.
- Determine the probability that both selected individuals own a dog.
- Provide your answer as a decimal rounded to at least three decimal places or as a fraction.
- Once determined, enter your answer in the provided input space and press "Submit Question" to confirm your response.
Expert Solution

Step 1
Given:
P(Dog) = 0.54
The probability that they both own a dog can be calculated as:
P(Both own a dog) = P(Dog)*P(Dog)= 0.54*0.54=0.292
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