Question 1141599: 77% of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and ask them whether they think that political correctness is a problem in America today. The random variable represents the number of U.S. adults who think that political correctness is a problem in America today.
Find the mean of the binomial distribution
Find the variance of the binomial distribution.
Find the standard deviation of the binomial distribution.
Interpret the results in the context of the real-life situation.
Most samples of 6 adults would differ from the mean by no more than ______
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Mean=np=6*0.77=4.62
variance is np(1-p)=4.62*0.23=1.0626
sd is sqrt (V)=1.03
Most samples of 6 adults would differ from the mean by no more than 1 sd (that is most, about 2/3)
Nearly all would differ from the mean by no more than 2 sds .
The last question is somewhat ambiguous.
In a real-life situation, I would expect 4 or 5 of 6 to think it is a problem.
I would not expect 0, 1, or 2.
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