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

Question

Quizplus · Accepted Answer

The standard deviation for a binomial distribution with parameters $n$ and $p$ is given by $\sigma = \sqrt{np(1-p)}$. Substituting the given values, we get $\sigma = \sqrt{503\cdot 0.7\cdot 0.3} \approx 10.28$. Rounded to the nearest hundredth, the answer is C: $\sigma = 10.28$.

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