finding and interpreting mean ,variance ,and standerd devaiation .find the a )me

Question

finding and interpreting mean ,variance ,and standerd devaiation .find the a )mean and b) variance and c) standerd deviation of the binomial distribution for the given random variable and the D) interpret the resuits

SECTION 4.2 30. World's Policeman El United State likely U.S. voters a 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. (Source: Rasmussen Reports) even percent of likely U.S. voters think that the the world's policeman. You randomly select five voters and ask them whether they think that the United States s should be 31. Face of th e Company Seventy-nine percent of workers know what their ooks like. You randomly select six workers and ask them whether CEO l they know what their CEO looks like. The random variable represents the number of workers who know what their CEO looks like. (Source CareerBuilder) three percent of adults cannot name a Supreme You randomly select five adults and ask them whether they random variable represents the 32. Supreme Court Sixty- Court justice. can number of adults who cannot name a Supreme Court justice. (Sou FindLaw) he name a Supreme Court justice. The

Explanation / Answer

Expectation = np

Variance = np(1 - p)

SD= sqrt( variance)

30).

Sample size

5

Probability of an event of interest

0.11

Statistics

Mean

0.55

Variance

0.4895

Standard deviation

0.6996

This means when we select 5 persons, and do this over and over, the average number of persons think US should be the world policeman is 0.55, and we can expect that to vary by about 0.6996 on average

31).

Sample size

6

Probability of an event of interest

0.79

Statistics

Mean

4.74

Variance

0.9954

Standard deviation

0.9977

This means when we select 6 workers, and do this over and over, the average number of workers know what their CEO looks is 4.74, and we can expect that to vary by about 0.9977 on average

32).

Sample size

5

Probability of an event of interest

0.63

Statistics

Mean

3.15

Variance

1.1655

Standard deviation

1.0796

This means when we select 5 adults, and do that over and over, the average number of adults cannot name a Supreme Court justice is 3.15, and we can expect that to vary by about 0.1.0796 on average

Sample size

5

Probability of an event of interest

0.11

Statistics

Mean

0.55

Variance

0.4895

Standard deviation

0.6996

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