Question

76% 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.
σ² = 1.1 (round to the nearest tenth as needed.)
find the standard deviation of the binomial distribution.
σ = 1.0 (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 □. (type integers or decimals rounded to the nearest tenth as needed.)

Explanation:

Step1: Recall the property of standard deviation in binomial distribution

In a binomial distribution, most values (about \(95\%\)) differ from the mean by no more than \(2\) standard deviations.

Step2: Calculate the value based on the given standard deviation

Given \(\sigma = 1.0\). Multiply the standard deviation by \(2\): \(2\times\sigma\).

Substitute \(\sigma = 1.0\) into the formula: \(2\times1.0=2.0\)

Answer:

\(2.0\)