The standard deviation of a binomial distribution for which n = 100 and p = .35 is:
A)4.77.
B)2.275.
C)47.7.
D)22.75.

Question

Quizplus · Accepted Answer

The standard deviation of a binomial distribution is given by the formula $\sqrt{n \cdot p \cdot (1-p)}$, where $n$ is the number of trials and $p$ is the probability of success on each trial. Substituting $n = 100$ and $p = .35$ into the formula gives $\sqrt{100 \cdot .35 \cdot (1-.35)} = \sqrt{100 \cdot .35 \cdot .65} = \sqrt{22.75} = 4.77$.

The Standard Deviation of a Binomial Distribution for Which N