Find the standard deviation of the binomial distribution for which n = 1000 and p = 0.94.
A)7.51
B)56.4
C)940
D)6.31

Question

Quizplus · Accepted Answer

The standard deviation ($\sigma$) of a binomial distribution is given by the formula $\sigma = \sqrt{n \cdot p \cdot (1-p)}$, where $n$ is the number of trials and $p$ is the probability of success on each trial. Substituting $n = 1000$ and $p = 0.94$ into the formula gives $\sigma = \sqrt{1000 \cdot 0.94 \cdot (1-0.94)} = \sqrt{1000 \cdot 0.94 \cdot 0.06} = \sqrt{56.4} \approx 7.51$.

Find the Standard Deviation of the Binomial Distribution for Which