Find the standard deviation, ?, for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth.
-n = 36; p = .2

A) $\sigma = 6.52$
B) $\sigma = - 0.01$
C) $\boldsymbol { \sigma } = 5.67$
D) $\boldsymbol { \sigma } = 2.40$

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.
-n = 36; p = .2

A) $\sigma = 6.52$
B) $\sigma = - 0.01$
C) $\boldsymbol { \sigma } = 5.67$
D) $\boldsymbol { \sigma } = 2.40$

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, $\sigma = \sqrt{36 \cdot 0.2 \cdot 0.8} = \sqrt{5.76} = 2.40$.

Find the Standard Deviation, ?, for the Binomial Distribution Which σ=6.52\sigma = 6.52σ=6.52

Find the Standard Deviation, ?, for the Binomial Distribution Which $\sigma = 6.52$