Problem
inomial Distributions Question 16, 4.2.31 HW Score: $31.67 \%, 6.33$ of 20 points Save Part 1 of 4 Points: 0 of 1 $76 \%$ 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.)
Solution
Step 1 ：The mean of a binomial distribution is given by the formula: \(\mu = n * p\), where n is the number of trials and p is the probability of success on each trial.
Step 2 ：In this case, n is 6 (the number of U.S. adults selected) and p is 0.76 (the percentage of U.S. adults who think that political correctness is a problem in America today).
Step 3 ：So, we need to calculate: \(\mu = 6 * 0.76\)
Step 4 ：The result is 4.56, but we need to round it to the nearest tenth.
Step 5 ：So, the mean of the binomial distribution is 4.6.
Step 6 ：Final Answer: \(\boxed{4.6}\)
