American households increasingly rely on cell phones as their exclusive telephone service. It is reported that 51.2% of American households still have landline phone service. We decide to randomly call eight households and ask if the home has a landline phone.

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?(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:

d.Given the probability distribution, what is the mean number of households with landline service?(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?(Round your answer to 3 decimal places.)

Variance: