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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