American households increasingly rely on cell phones as their exclusive telephone service. It is reported that 50.4% of American
households still have landline phone service. We decide to randomly call eight households and ask if the home has a landline phone.

What is the variance of the probability distribution of the number of households with landline service?

Respuesta :

The variance of the binomial distribution of the number of households with landline service is 2.

What is the binomial probability distribution?

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The variance of the distribution is given by:

V(X) = np(1 - p)

In this problem, the parameters are given as follows:

n = 8, p = 0.504.

Hence the variance is given by:

V(X) = 8 x 0.504 x 0.496 = 2.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

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