A recent survey shows that 10% of households in San Bernardino county installed security system at home in 2022. You randomly selected 6 households in San Bernardino county and asked whether they had installed security system at home in 2022. (1) How many outcomes are there in the sample space? Consider one outcome could be Yes No No No No No, i.e. the first household responded Yes, installed security system in 2022 and all the other five responded No. 64 Let X denote the number of household(s) that installed security system in 2022 among the 6 households you sampled. (2) How many possible values are there that for X? 7 (3) What's the probability that X = 1? ✓ [Select]
A recent survey shows that 10% of households in San Bernardino county installed security system at home in 2022. You randomly selected 6 households in San Bernardino county and asked whether they had installed security system at home in 2022. (1) How many outcomes are there in the sample space? Consider one outcome could be Yes No No No No No, i.e. the first household responded Yes, installed security system in 2022 and all the other five responded No. 64 Let X denote the number of household(s) that installed security system in 2022 among the 6 households you sampled. (2) How many possible values are there that for X? 7 (3) What's the probability that X = 1? ✓ [Select]
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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![A recent survey shows that 10% of households in San Bernardino county installed a security system at home in 2022. You randomly selected 6 households in San Bernardino county and asked whether they had installed a security system at home in 2022.
(1) How many outcomes are there in the sample space?
Consider one outcome could be Yes No No No No No, i.e., the first household responded Yes, installed a security system in 2022, and all the other five responded No.
\[ \boxed{64} \]
Let \( X \) denote the number of household(s) that installed a security system in 2022 among the 6 households you sampled.
(2) How many possible values are there for \( X \)?
\[ \boxed{7} \]
(3) What's the probability that \( X = 1 \)?
\[ \boxed{0.354} \]
[Select]
0.354
0.06
Other options (not shown)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0050e148-e94b-48b0-ac50-dcf46587a87d%2Ffe0cabb2-41f7-44d5-bb30-2fcbd074717c%2F2n55by_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A recent survey shows that 10% of households in San Bernardino county installed a security system at home in 2022. You randomly selected 6 households in San Bernardino county and asked whether they had installed a security system at home in 2022.
(1) How many outcomes are there in the sample space?
Consider one outcome could be Yes No No No No No, i.e., the first household responded Yes, installed a security system in 2022, and all the other five responded No.
\[ \boxed{64} \]
Let \( X \) denote the number of household(s) that installed a security system in 2022 among the 6 households you sampled.
(2) How many possible values are there for \( X \)?
\[ \boxed{7} \]
(3) What's the probability that \( X = 1 \)?
\[ \boxed{0.354} \]
[Select]
0.354
0.06
Other options (not shown)
![The image contains an exercise related to probability and statistics. Here is a transcription suitable for an educational website:
---
**Exercise: Probability and Statistics**
Consider the scenario where you select the number of household(s) that installed a security system in 2022 among the 6 households you sampled.
**Questions:**
2. **How many possible values are there for X?**
- Answer Option: [ 7 ]
3. **What's the probability that X = 1?**
- Answer Selection: [ Select ]
4. **What is the expected value of X?**
- Answer Selection: [ Select ]
5. **What is the variance of X?**
- Answer Selection: [ Select ]
---
This exercise seems to involve a discrete random variable X representing the number of households with a security system. The text suggests exploring possible values, calculating probabilities, expected value, and variance. The interactive components (dropdowns) indicate that this exercise might be part of an online questionnaire or quiz.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0050e148-e94b-48b0-ac50-dcf46587a87d%2Ffe0cabb2-41f7-44d5-bb30-2fcbd074717c%2Fox4dol_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image contains an exercise related to probability and statistics. Here is a transcription suitable for an educational website:
---
**Exercise: Probability and Statistics**
Consider the scenario where you select the number of household(s) that installed a security system in 2022 among the 6 households you sampled.
**Questions:**
2. **How many possible values are there for X?**
- Answer Option: [ 7 ]
3. **What's the probability that X = 1?**
- Answer Selection: [ Select ]
4. **What is the expected value of X?**
- Answer Selection: [ Select ]
5. **What is the variance of X?**
- Answer Selection: [ Select ]
---
This exercise seems to involve a discrete random variable X representing the number of households with a security system. The text suggests exploring possible values, calculating probabilities, expected value, and variance. The interactive components (dropdowns) indicate that this exercise might be part of an online questionnaire or quiz.
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