The expected number of a distribution is its mean.
- The expected number of Americans who are satisfied with the way things are going in the United States is 6
- The standard deviation of Americans who are satisfied with the way things are going in the United States is 2.05
The given parameters are:
<em /><em> --- the proportion that are satisfied</em>
<em /><em> --- the sample size</em>
<em />
<u>(a) The expected number that are satisfied</u>
This is calculated using:
So, we have:
The expected number of Americans who are satisfied with the way things are going in the United States is 6
<u>(b) The standard deviation of those that are satisfied</u>
This is calculated using:
So, we have:
The standard deviation of Americans who are satisfied with the way things are going in the United States is 2.05
Read more about expected value and standard deviations at: