Question

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

Answer 1

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:

`color(white)("XXX")mu = n * p`
`color(white)("XXX")sigma = sqrt(n * p * (1-p))`

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