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Finding and Interpreting Mean, Variance, and
Chapter 4, Problem 30E(choose chapter or problem)
Problem 30E
Finding and Interpreting Mean, Variance, and Standard Deviation In Exercise, find the (a) mean, (b) variance and (c) standard deviation of the binomial distribution for the given random variable, and (d) interpret the results.
World’s Policeman Eleven percent of likely U.S. voters think that the United States should be the world’s policeman. You randomly select five likely U.S. voters and ask them whether they think that the United States should be the world’s policeman. The random variable represents the number of likely U.S. voters who think that the United States should be the world’s policeman.
Questions & Answers
QUESTION:
Problem 30E
Finding and Interpreting Mean, Variance, and Standard Deviation In Exercise, find the (a) mean, (b) variance and (c) standard deviation of the binomial distribution for the given random variable, and (d) interpret the results.
World’s Policeman Eleven percent of likely U.S. voters think that the United States should be the world’s policeman. You randomly select five likely U.S. voters and ask them whether they think that the United States should be the world’s policeman. The random variable represents the number of likely U.S. voters who think that the United States should be the world’s policeman.
ANSWER:
Solution:
Step 1 of 4:
Given 11 % of likely U.S. voters.
Then we randomly select five likely U.S. voters.
Here, p = 11%
p =
p = 0.11 and n=5.
Our goal is:
a). We need to find the mean.
b). We need to find the variance.
c). We need to find the standard deviation.
a). The mean formula is the product of the sample size and the productivity.
The mean formula is
= np
We know that n=5 and p=0.11.
= 5
0.11
= 0.55
Therefore, the mean is 0.55.