For a binomial distribution with p = ¼ and a mean of $\mu$ = 12, the standard deviation is $\sigma$ = 9.

Name: For a binomial distribution with p = ¼ and a mean of $\mu$ = 12, the standard deviation is $\sigma$ = 9.
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Quizplus · Accepted Answer

The standard deviation for a binomial distribution is calculated using the formula $\sigma = \sqrt{np(1-p)}$. Given $\mu = np = 12$ and $p = \frac{1}{4}$, $n = 48$. Thus, $\sigma = \sqrt{48 \times \frac{1}{4} \times \frac{3}{4}} = \sqrt{9} = 3$, not 9.

For a Binomial Distribution with P = ¼ and a Mean