If $\mathrm { x }$ is a binomial random variable, calculate $\sigma$ for $\mathrm { n } = 60$ and $\mathrm { p } = 0.7$. Round to three decimal places when necessary.
A) $6.481$
B) $3.55$
C) 42
D) $12.6$

Question

Quizplus · Accepted Answer

The standard deviation $\sigma$ of a binomial distribution is calculated using the formula $\sigma = \sqrt{np(1-p)}$. Substituting $n = 60$ and $p = 0.7$, we get $\sigma = \sqrt{60 \times 0.7 \times 0.3} = \sqrt{12.6} \approx 3.55$.

If x\mathrm { x }x Is a Binomial Random Variable, Calculate σ\sigmaσ

If $\mathrm { x }$ Is a Binomial Random Variable, Calculate $\sigma$