Question

for the binomial distribution, which formula finds the standard deviation? choose the correct answer below. npq np √npq √np

Explanation:

Step1: Recall binomial - distribution variance formula

The variance of a binomial distribution is $\sigma^{2}=npq$, where $n$ is the number of trials, $p$ is the probability of success on a single - trial, and $q = 1 - p$ is the probability of failure on a single trial.

Step2: Recall the relationship between standard deviation and variance

The standard deviation $\sigma$ is the square - root of the variance. So, $\sigma=\sqrt{\sigma^{2}}$.

Step3: Find the standard - deviation formula for binomial distribution

Since $\sigma^{2}=npq$, then $\sigma = \sqrt{npq}$.

Answer:

$\sqrt{npq}$