MATH SOLVE

4 months ago

Q:
# % 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. Answer the questions below. Find the mean of the binomial distribution (Round to the nearest tenth as needed) et Find the variance of the binomial distribution (Round to the nearest tenth as needed) e Find the standard deviation of the binomial distribution verl the ơrD(Round to the nearest tenth as needed) 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

Accepted Solution

A:

Answer:Explanation has been given belowStep-by-step explanation:hope fully it may concern with 70% adults thenp = 0.77 randomly select = 6then mean will bemean = n * p = 6*0.77=4.62To get variance np (1-p)then putting values we getnp (1-p) = 4.62 *0.23 = 1.0626taking square root we get[tex]\sqrt{1.0626}[/tex]sd = 1.03Most samples of 6 adults would differ from the mean by no more than 1 sd mean is differ by no more than 2 sds .
In a real-life situation, it is expected that 4 or 5 of 6 to think it is a problem.
I would not expect 0, 1, or 2.