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Solved: Finding and Interpreting Mean, Variance, and
Chapter 4, Problem 27E(choose chapter or problem)
Problem 27E
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.
Political Correctness Fifty-nine percent of likely U.S. voters think that most school textbooks put political correctness ahead of accuracy. You randomly select seven likely 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 likely U.S. voters who think that most school textbooks put political correctness ahead of accuracy.
Questions & Answers
QUESTION:
Problem 27E
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.
Political Correctness Fifty-nine percent of likely U.S. voters think that most school textbooks put political correctness ahead of accuracy. You randomly select seven likely 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 likely U.S. voters who think that most school textbooks put political correctness ahead of accuracy.
ANSWER:
Answer
Step 1 of 4
(a)
We are asked to find the mean.
We have given 59% of likely U.S. voters think that most school textbooks put political correctness ahead of accuracy.
You randomly select seven likely U.S. voters and ask them whether they think that most school textbooks put political correctness ahead of accuracy.
Let represents the number of likely U.S. voters who think that most school textbooks put political correctness ahead of accuracy.
A binomial distribution represented by the following formula,
Where
Hence the mean is