$76 \%$ 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.
Find the mean of the binomial distribution.
$\mu=\square$ (Round to the nearest tenth as needed.)

Step 1 ：The problem provides that 76% of U.S. adults think that political correctness is a problem in America today. We 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.

Step 2 ：We are asked to find the mean of the binomial distribution. The mean of a binomial distribution is calculated by the formula \(\mu = np\), where \(n\) is the number of trials and \(p\) is the probability of success on each trial.

Step 3 ：In this case, \(n = 6\) (the number of U.S. adults selected) and \(p = 0.76\) (the percentage of U.S. adults who think that political correctness is a problem in America today).

Step 4 ：We calculate the mean as \(\mu = 6 * 0.76\).

Step 5 ：The calculated mean of the binomial distribution is 4.56. However, the question asks to round to the nearest tenth. So, the mean of the binomial distribution is 4.6.

Step 6 ：Final Answer: \(\boxed{4.6}\)