If a binomial distribution applies with a sample size of n = 20, find the standard deviation, n = 20, p = 0.20.
A) 1.7889
B) 2.1889
C) 2.7889
D) 3.1221

Question

Quizplus · Accepted Answer

The standard deviation ($\sigma$) of a binomial distribution is calculated using the formula $\sigma = \sqrt{n \cdot p \cdot (1 - p)}$, where $n$ is the sample size and $p$ is the probability of success. Substituting $n = 20$ and $p = 0.20$, we get $\sigma = \sqrt{20 \cdot 0.20 \cdot (1 - 0.20)} = \sqrt{20 \cdot 0.20 \cdot 0.80} = \sqrt{3.2} = 1.7889$.

If a Binomial Distribution Applies with a Sample Size of N