Question

34% of likely u.s. voters think that the federal government should get more involved in fighting local crime. you randomly select six likely u.s. voters and ask them whether they think that the federal government should get more involved in fighting local crime. the random variable represents the number of likely u.s. voters who think that the federal government should get more involved in fighting local crime.
find the mean of the binomial distribution.
μ=□ (round to the nearest tenth as needed.)

Explanation:

Step1: Identify the formula for the mean of a binomial distribution

The formula for the mean of a binomial distribution is $\mu = np$, where $n$ is the number of trials and $p$ is the probability of success in a single trial.

Step2: Determine the values of $n$ and $p$

Here, $n = 6$ (since 6 voters are selected) and $p=0.34$ (the proportion of voters who think the federal government should get more involved in fighting local crime).

Step3: Calculate the mean

Substitute the values into the formula: $\mu=6\times0.34 = 2.04$.

Step4: Round to the nearest tenth

Rounding $2.04$ to the nearest tenth gives $2.0$.

Answer:

$2.0$