c. What is the probability that exactly five of the households in the sampled group have a landline phone service? (Round your answer to 4 decimal places.) Probability
c. What is the probability that exactly five of the households in the sampled group have a landline phone service? (Round your answer to 4 decimal places.) Probability
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![**Educational Website Transcription**
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**Probability Analysis**
c. **Question:** What is the probability that exactly five of the households in the sampled group have a landline phone service?
*(Round your answer to 4 decimal places.)*
**Input Field:** Probability [__________]
---
d. **Question:** Given the probability distribution, what is the mean number of households with landline service?
*(Round your answer to 3 decimal places.)*
**Input Field:** Mean [__________]
---
e. **Question:** What is the variance of the probability distribution of the number of households with landline service?
*(Round your answer to 3 decimal places.)*
**Input Field:** Variance [__________]
---](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe1a401ad-d356-4e18-a46f-f8eb6aa022c5%2Fea089fcd-2a5c-4ade-b776-89b9020d64a1%2F9t94c6p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Website Transcription**
---
**Probability Analysis**
c. **Question:** What is the probability that exactly five of the households in the sampled group have a landline phone service?
*(Round your answer to 4 decimal places.)*
**Input Field:** Probability [__________]
---
d. **Question:** Given the probability distribution, what is the mean number of households with landline service?
*(Round your answer to 3 decimal places.)*
**Input Field:** Mean [__________]
---
e. **Question:** What is the variance of the probability distribution of the number of households with landline service?
*(Round your answer to 3 decimal places.)*
**Input Field:** Variance [__________]
---
![---
**Understanding Probability Distributions: A Binomial Example**
American households increasingly rely on cell phones as their exclusive telephone service. It is reported that 49.2% of American households still have landline phone service. In this exercise, we randomly call eight households to inquire if they have a landline.
**a-1. What is the random variable?**
The random variable is the count of the 8 households that have a landline.
**a-2. How is the random variable distributed?**
The random variable follows a binomial probability distribution.
**b. What is the probability that none of the households in the sampled group have landline phone service? (Round your answer to 4 decimal places.)**
Probability: [Blank space for answer]
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This exercise highlights the concept of binomial distribution, where the probability of a fixed number of successes (in this case, having a landline) is calculated over a series of independent trials (calling households). The parameters include a fixed number of trials, two possible outcomes (landline or no landline), and a constant probability of success (49.2%).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe1a401ad-d356-4e18-a46f-f8eb6aa022c5%2Fea089fcd-2a5c-4ade-b776-89b9020d64a1%2Fx66rv9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:---
**Understanding Probability Distributions: A Binomial Example**
American households increasingly rely on cell phones as their exclusive telephone service. It is reported that 49.2% of American households still have landline phone service. In this exercise, we randomly call eight households to inquire if they have a landline.
**a-1. What is the random variable?**
The random variable is the count of the 8 households that have a landline.
**a-2. How is the random variable distributed?**
The random variable follows a binomial probability distribution.
**b. What is the probability that none of the households in the sampled group have landline phone service? (Round your answer to 4 decimal places.)**
Probability: [Blank space for answer]
---
This exercise highlights the concept of binomial distribution, where the probability of a fixed number of successes (in this case, having a landline) is calculated over a series of independent trials (calling households). The parameters include a fixed number of trials, two possible outcomes (landline or no landline), and a constant probability of success (49.2%).
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