Find the standard deviation for the values of $n$ and $p$ when the conditions for the binomial distribution are met.
$$n = 500 , p = 0.8$$
A) 100
B) 8.9
C) 80
D) 400

Question

Quizplus · Accepted Answer

The standard deviation ($\sigma$) for a binomial distribution is calculated using the formula $\sigma = \sqrt{n \cdot p \cdot (1-p)}$, where $n$ is the number of trials and $p$ is the probability of success. Substituting $n = 500$ and $p = 0.8$ gives $\sigma = \sqrt{500 \cdot 0.8 \cdot (1-0.8)} = \sqrt{500 \cdot 0.8 \cdot 0.2} = \sqrt{80} \approx 8.9$.

Find the Standard Deviation for the Values Of nnn And ppp When the Conditions for the Binomial Distribution Are Met

Find the Standard Deviation for the Values Of $n$ And $p$ When the Conditions for the Binomial Distribution Are Met