Alternate Sources of Fuel Eighty-six percent of Americans favor spending government money to develop alternative sources of fuel for automobiles. For a
random sample of 130 Americans, find the mean, variance, and standard deviation for the number who favor government spending for alternative fuels. Round
your answers to three decimal places.
Part:
Part 1 of 2
(a) Find the mean.
Mean:

Question

Alternate Sources of Fuel Eighty-six percent of Americans favor spending government money to develop alternative sources of fuel for automobiles. For a
random sample of 130 Americans, find the mean, variance, and standard deviation for the number who favor government spending for alternative fuels. Round
your answers to three decimal places.
Part:

Part 1 of 2
(a) Find the mean.
Mean:

UpStudy AI · Accepted Answer

The mean for a binomial distribution is given by

$$
\mu = np.
$$

Here, $$ n = 130 $$ is the sample size and $$ p = 0.86 $$ is the probability of an American favoring government spending on alternative fuels. Thus,

$$
\mu = 130 \times 0.86 = 111.8.
$$

Rounded to three decimal places, the mean is

$$
\mu = 111.800.
$$
Mean: $$ \mu = 111.800 $$

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