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American households increasingly rely on cell phones as their exclusive telephone service. It is reported that 50.0% of American households still have landline phone service. We decide to randomly call eight households and ask if the home has a landline phone. Required: a-1. What is the random variable? The random variable is the count of the households that have a landline. a-2. How is the random variable distributed? The random variable follows a probability distribution. b. What is the probability that none of the households in the sampled group have landline phone service? Note: 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? Note: Round your answer to 4 decimal places. Probability d. Given the probability distribution, what is the mean number of households with landline service? Note: Round your answer to 3 decimal places. Mean e. What is the variance of the probability distribution of the number of households with landline service? Note: Round your answer to 3 decimal places. Variance

American households increasingly rely on cell phones as their exclusive telephone service. It is reported that 50.0% of American households still have landline phone service. We decide to randomly call eight households and ask if the home has a landline phone. Required: a-1. What is the random variable? The random variable is the count of the households that have a landline. a-2. How is the random variable distributed? The random variable follows a probability distribution. b. What is the probability that none of the households in the sampled group have landline phone service? Note: 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? Note: Round your answer to 4 decimal places. Probability d. Given the probability distribution, what is the mean number of households with landline service? Note: Round your answer to 3 decimal places. Mean e. What is the variance of the probability distribution of the number of households with landline service? Note: Round your answer to 3 decimal places. Variance

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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American households increasingly rely on cell phones as their exclusive telephone service. It is reported that 50.0% of American households still have landline phone service. We decide to randomly call eight households and ask if the home has a landline phone. Required: a-1. What is the random variable? The random variable is the count of the households that have a landline. a-2. How is the random variable distributed? The random variable follows a probability distribution. b. What is the probability that none of the households in the sampled group have landline phone service? Note: 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? Note: Round your answer to 4 decimal places. Probability d. Given the probability distribution, what is the mean number of households with landline service? Note: Round your answer to 3 decimal places. Mean e. What is the variance of the probability distribution of the number of households with landline service? Note: Round your answer to 3 decimal places. Variance
Transcribed Image Text:American households increasingly rely on cell phones as their exclusive telephone service. It is reported that 50.0% of American households still have landline phone service. We decide to randomly call eight households and ask if the home has a landline phone. Required: a-1. What is the random variable? The random variable is the count of the households that have a landline. a-2. How is the random variable distributed? The random variable follows a probability distribution. b. What is the probability that none of the households in the sampled group have landline phone service? Note: 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? Note: Round your answer to 4 decimal places. Probability d. Given the probability distribution, what is the mean number of households with landline service? Note: Round your answer to 3 decimal places. Mean e. What is the variance of the probability distribution of the number of households with landline service? Note: Round your answer to 3 decimal places. Variance
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