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.
$n = 38 ; p = 2 / 5$
A) $\sigma = 7.87$
B) $\sigma = 10.28$
C) $\sigma = 13.55$
D) $\sigma = 14.40$

Question

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, $\sigma = \sqrt{38 \cdot \frac{2}{5} \cdot \frac{3}{5}} = \sqrt{9.12} \approx 3.02$. None of the options match this calculation, indicating a possible error in the options provided.

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