Find the standard deviation, ?, for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth.
-$\mathrm { n } = 41 ; \mathrm { p } = 0.2$

A) $\sigma = 0.15$
B) $\sigma = 5.83$
C) $\sigma = 6.68$
D) $\sigma = 2.56$

Question

Find the standard deviation, ?, for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth.
-$\mathrm { n } = 41 ; \mathrm { p } = 0.2$

A) $\sigma = 0.15$
B) $\sigma = 5.83$
C) $\sigma = 6.68$
D) $\sigma = 2.56$

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, $\sigma = \sqrt{41 \cdot 0.2 \cdot 0.8} = \sqrt{6.56} \approx 2.56$.

Find the Standard Deviation, ?, for the Binomial Distribution Which n=41;p=0.2\mathrm { n } = 41 ; \mathrm { p } = 0.2n=41;p=0.2

Find the Standard Deviation, ?, for the Binomial Distribution Which $\mathrm { n } = 41 ; \mathrm { p } = 0.2$