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.
-$$\mathrm { n } = 503 ; \mathrm { p } = 0.7$$
A) $\sigma = 7.87$
B) $\sigma = 10.28$
C) $\sigma = 13.55$
D) $\sigma = 14.40$

Question

Quizplus · Accepted Answer

The formula for the standard deviation of a binomial distribution is $\sigma = \sqrt{np(1-p)}$. Thus, plugging in $n = 503$ and $p = 0.7$, we get $\sigma=\sqrt{503\cdot0.7\cdot0.3}\approx 10.28$. Round to the nearest hundredth gives us $\boxed{	extbf{(B)}\ 10.28}$.

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