Find the standard deviation, σ, for the binomial distribution which has the stated values of n and p. Round your answer
to the nearest hundredth.
-$\mathrm { n } = 1617 ; \mathrm { p } = 0.57$

A) $\sigma = 19.91$
B) $\sigma = 23.18$
C) $\sigma = 24.03$
D) $\sigma = 17.50$

Question

Find the standard deviation, σ, for the binomial distribution which has the stated values of n and p. Round your answer
to the nearest hundredth.
-$\mathrm { n } = 1617 ; \mathrm { p } = 0.57$

A) $\sigma = 19.91$
B) $\sigma = 23.18$
C) $\sigma = 24.03$
D) $\sigma = 17.50$

Quizplus · Accepted Answer

The standard deviation for a binomial distribution is given by the formula:$\sigma = \sqrt{np(1-p)}$Plugging in the given values, we get:$\sigma = \sqrt{1617 * 0.57 * (1-0.57)} = 19.91$Therefore, the correct answer is A.

Find the Standard Deviation, σ, for the Binomial Distribution Which n=1617;p=0.57\mathrm { n } = 1617 ; \mathrm { p } = 0.57n=1617;p=0.57

Find the Standard Deviation, σ, for the Binomial Distribution Which $\mathrm { n } = 1617 ; \mathrm { p } = 0.57$