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
find the mean of the binomial distribution.
μ = 2 (round to the nearest tenth as needed.)
find the variance of the binomial distribution.
σ² = 1.3 (round to the nearest tenth as needed.)
find the standard deviation of the binomial distribution.
σ = □ (round to the nearest tenth as needed.)

Explanation:

Step1: Recall the formula for standard deviation of binomial distribution

The formula for the standard deviation \(\sigma\) of a binomial distribution is \(\sigma=\sqrt{np(1 - p)}\), where \(n\) is the number of trials and \(p\) is the probability of success.
We know that the variance \(\sigma^{2}=np(1 - p)\). Given \(\sigma^{2}=1.3\), so \(\sigma=\sqrt{1.3}\).

Step2: Calculate the value of \(\sigma\)

\(\sigma=\sqrt{1.3}\approx1.1\)

Answer:

\(1.1\)