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.
-$\mathrm { n } = 38 ; \mathrm { p } = 0.4$

A) $\sigma = 7.14$
B) $\sigma = 3.02$
C) $\sigma = 6.29$
D) $\sigma = 0.61$

Question

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.
-$\mathrm { n } = 38 ; \mathrm { p } = 0.4$

A) $\sigma = 7.14$
B) $\sigma = 3.02$
C) $\sigma = 6.29$
D) $\sigma = 0.61$

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, $\sigma = \sqrt{38 \cdot 0.4 \cdot 0.6} = \sqrt{9.12} \approx 3.02$.

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