Find the standard deviation, $\sigma$ , for the binomial distribution which has n=48 and $p = 3 / 5$ Round your answer to the nearest hundredth.
A) $\sigma = 6.66$
B) $\sigma = 0.98$
C) $\sigma = 7.51$
D) $\sigma = 3.39$

Question

Find the standard deviation,  $\sigma$ , for the binomial distribution which has  n=48  and $p = 3 / 5$ Round your answer to the nearest hundredth.
A) $\sigma = 6.66$
B) $\sigma = 0.98$
C) $\sigma = 7.51$
D) $\sigma = 3.39$

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: $\sigma = \sqrt{48 \cdot \frac{3}{5} \cdot \frac{2}{5}} = \sqrt{48 \cdot 0.6 \cdot 0.4} = \sqrt{11.52} \approx 3.39$.

Find the Standard Deviation σ\sigmaσ , for the Binomial Distribution Which Has N=48

Find the Standard Deviation $\sigma$ , for the Binomial Distribution Which Has N=48