Find the standard deviation, $\sigma$, for the binomial distribution which has the stated values of $n$ and $p$. Round your answer to the nearest hundredth. $n = 38 ; p = 2 / 5$
A) $\sigma = 0.61$
B) $\sigma = 6.29$
C) $\sigma = 3.02$
D) $\sigma = 7.14$

Question

Quizplus · Accepted Answer

The standard deviation for a binomial distribution is calculated using the formula $\sigma = \sqrt{n \cdot p \cdot (1-p)}$. Substituting the given values, $\sigma = \sqrt{38 \cdot \frac{2}{5} \cdot \frac{3}{5}} = \sqrt{9.12} \approx 3.02$.

Find the Standard Deviation σ\sigmaσ , for the Binomial Distribution Which Has the Stated Values

Find the Standard Deviation $\sigma$ , for the Binomial Distribution Which Has the Stated Values