Question
please explain how i would do question 27. thank you
shoulc ite standards for school food. (Source: Hart Research Associates int for Kids Safe&Healthful; Foods Project) Finding and Interpreting Mean, Variance, and Standard Deviation In Exercises 27-32, find the (a) mean, (b) variance and (c) standard deviation of the binomial distribution for the given random variable, and (d) interpret the results 27. Political Correct ness Fifty-nine percent of likcly U.S. voters think that most school textbooks put political correctness ahead of accuracy. You randomly select seven likcly U.S. voters and ask them whether they think that most school textbooks put political correctness ahead of accuracy. The random variable represents the number of likcly U.S. voters who think that most school textbooks put political correctness ahead of accuracy. (Source: Rasmuussen Reports) 28. Potentially Offensive Songs Sixty-nine percent of adults think that musicians should be allowed to sing potentially offensive songs. You randomly select four adults and ask them whether they think musicians should be allowed to sing potentially offensive songs. The random variable represents the number of adults who think musicians should be allowed to sing potentially offensive songs. (Source: First Amendment Center) 29. Life on Mars Thirty-one percent of adults think that life existed on Mars at some point in time. You randomly select six adults and ask them whether they think life existed on Mars at some point in time. The random variable represents the number of adults who think that life existed on Mars at some point in time. (Source: CNN/ORC Poll)
Explanation / Answer
here given proportion p=0.59 ;
selected number of US voters=7
a)therefore mean =np =7*0.59 =4.13
b) variance =(np(1-p)) =(7*0.59*0.41) =1.6933
c)std deviation =(variance)1/2 =1.3013
d) above given values indicate that if a large number of sample of 7 US voters to be selected ; on average 4.13 US voters will think that most school textbooks put political correctness above ahead of accuracy with an std error of 1.3013 between samples,
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