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. find the mean of the binomial distribution. μ = (round to the nearest tenth as needed.)

Explanation:

Step1: Identify the parameters of the binomial distribution

The binomial distribution formula for the mean is $\mu = np$, where $n$ is the number of trials and $p$ is the probability of success. Here, $n = 6$ (number of U.S. adults selected) and $p=0.76$ (probability that a U.S. adult thinks political correctness is a problem).

Step2: Calculate the mean

Substitute $n = 6$ and $p = 0.76$ into the formula $\mu=np$.
$$\mu=6\times0.76 = 4.56$$
Rounding $4.56$ to the nearest tenth gives $4.6$.

Answer:

$4.6$