What are the mean and standard deviation of a binomial probability distribution with n=16  and p=21/32 ?

Feb 16, 2016

mean: $\mu = 10.5$
standard deviation: $\sigma = 1.9$

Explanation:

There are standard formulae for the mean and standard deviation of a binomial probability distribution.
If you are going to do any significant work with binomial probability distributions you should memorize these:

$\textcolor{w h i t e}{\text{XXX}} \mu = n \cdot p$
$\textcolor{w h i t e}{\text{XXX}} \sigma = \sqrt{n \cdot p \cdot \left(1 - p\right)}$

Plugging in the given values generates the numbers in the "Answer" (above).